{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Practical Statistics for Data Scientists (Python)\n",
    "# Chapter 6. Statistical Machine Learning\n",
    "> (c) 2019 Peter C. Bruce, Andrew Bruce, Peter Gedeck"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Import required Python packages."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import os\n",
    "import random\n",
    "from pathlib import Path\n",
    "from collections import defaultdict\n",
    "from itertools import product\n",
    "\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "from sklearn import preprocessing\n",
    "from sklearn.neighbors import KNeighborsClassifier\n",
    "from sklearn import metrics\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "\n",
    "from xgboost import XGBClassifier\n",
    "\n",
    "from dmba import plotDecisionTree, textDecisionTree\n",
    "\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.patches import Ellipse\n",
    "\n",
    "%matplotlib inline\n",
    "\n",
    "DATA = Path('.').resolve().parents[1] / 'data'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Define paths to data sets. If you don't keep your data in the same directory as the code, adapt the path names."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "LOAN200_CSV = DATA / 'loan200.csv'\n",
    "LOAN3000_CSV = DATA / 'loan3000.csv'\n",
    "LOAN_DATA_CSV = DATA / 'loan_data.csv.gz'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set this if the notebook crashes in the XGBoost part."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "os.environ['KMP_DUPLICATE_LIB_OK'] = 'TRUE'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# K-Nearest Neighbors\n",
    "## A Small Example: Predicting Loan Default"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.45 0.55]]\n"
     ]
    }
   ],
   "source": [
    "loan200 = pd.read_csv(LOAN200_CSV)\n",
    " \n",
    "predictors = ['payment_inc_ratio', 'dti']\n",
    "outcome = 'outcome'\n",
    "\n",
    "\n",
    "newloan = loan200.loc[0:0, predictors]\n",
    "X = loan200.loc[1:, predictors]\n",
    "y = loan200.loc[1:, outcome]\n",
    "\n",
    "knn = KNeighborsClassifier(n_neighbors=20)\n",
    "knn.fit(X, y)\n",
    "knn.predict(newloan)\n",
    "print(knn.predict_proba(newloan))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAARgAAAEYCAYAAACHjumMAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy86wFpkAAAACXBIWXMAAAsTAAALEwEAmpwYAABIkUlEQVR4nO2dd3iUVdr/P2cyk95IQkLoSFdCDYoCuihNRWRdC1gAUfkJvoq+iou9r66iq76r7LIWREEURXTBFQXZXRBFQkdAFKkJpEF6nZnz++PMJBOSkDbPtJzPdT1X7ueZp9yZZL5z7lPuW0gp0Wg0GiMwedsBjUYTuGiB0Wg0hqEFRqPRGIYWGI1GYxhaYDQajWFogdFoNIZhmMAIIUKFED8KIXYKIX4SQjzlON5NCLFZCPGrEOIjIUSwUT5oNBrvYmQLphy4VEo5ABgIjBdCDAP+DPxFStkDOA3cZqAPGo3GixgmMFJR5Ni1ODYJXAp84jj+HjDJKB80Go13MRt5cyFEELAV6AG8ARwE8qSUVscpx4EO9Vw7E5gJEBERMaRPnz5GuqrRaBpg69atOVLKtk25xlCBkVLagIFCiFjgM6DRKiGlXAgsBEhNTZVpaWmG+KjRaBqHEOJIU6/xyCiSlDIPWA9cCMQKIZzC1hFI94QPGo1HKS8Ca3ltu5Vh5ChSW0fLBSFEGDAG2IcSmmsdp00DPjfKB43GK5QXwYkdcHI3lORV261QZIwMkZKB9xz9MCbgYynlKiHEXmCZEOJZYDvwtoE+aDSeR5jUVpwNpafBboXgCEB42zOPY5jASCl3AYPqOP4bcL5Rz9VovE5wOCT0hvStSlyCQiChF5hb35QvPZNXo3E35UWQvQ+kDYIsYCuHrP2tMkTSAqPRuBtniBTVDjqeD6ExYDKhQySNRtNygsOh/UAQZhUWudqtDC0wGo0RWMLrtlsZOkTSaDSGoQVGo9EYhhaYQMNuUyMWpfk1bY3GC+g+mECjIANOH4bCTAiPVftlp9VohinI295pWhkBKzCF5YUUVhbWOh5liSIqJMoLHnmI6PZQXgB5R6GgBMxhkHiuFheNVwhcgaks5MDpA7WO92rTK7AFBuDMYnq6tp7GS+g+mECjIAPyj4M5XLVmrKWQvVf1x2g0HiZgWzCtluj2UFEM0ckQHKnWwUQn6xBJ4xW0wAQapiBIdMnrlagzAWq8hw6RNBqNYQRsCybKEkWvNr3qPK7RaDxD4ApMSIAPR2s0foAOkTQajWFogdFoNIYRsCFSfbTaGb4ajRdofQLTmmf4ajQeRodIGo3GMLTAaJpOfjpUltW2vY2UUJRV29Z4DSMLr3USQqwXQuwVQvwkhJjjOD5QCPGDEGKHECJNCKFLmPgT+cchcw+c3AW5B5Wducc31jrl/goZO5RfVfZv3vaqVWNkH4wVuF9KuU0IEQVsFUJ8A7wIPCWl/JcQ4grH/u8M9EPjTsLiITQWSnLVZjJDdEffWOsUEg1CQM4vat9kgVDdr+ZNjCy8dgI44bALhRD7gA6o5AHRjtNigAyjfKgLPcO3hQSHQUQClJ5S+5ZwCIv1qktVRCZCZDsoOK72o5Mhoq13fWrleGQUSQjRFVXlcTNwL7BGCDEfFaJdVM81M4GZAJ07d3abL3qGbwvJP67CD5NZiUt5gQqR2g/yfism91coSFctFyTkHwNzKMSfU/vcsnxVr+hMW+NWDO/kFUJEAp8C90opC4BZwH1Syk7AfdRTm1pKuVBKmSqlTG3bVn8LtRhbJZz8SX2YXO2mEhYPYW0gKQU6DIbweN8KkSxhqg5Ru/5KXEKja59XlAXHt6r+mcLMalvjdgxtwQghLChxWSKlXOE4PA2Y47CXA28Z6YPGQUE65B9V/SYhUVB0EipLoMMQR9XBRhIc5rjGISiutreJSlKCYglT+662K9Kuyrrm/gIIx75djTyJ1ld90UiMHEUSqNbJPinlKy4vZQCXOOxLgV+M8kHjQnRHiOkIlcVKXIIjVa6YpoiLE1dB8RVxceIqKHWJC6iSrnHnVAtNRALEd9fiYgBGtmCGA7cAu4UQOxzHHgbuAF4TQpiBMhz9LBqjkTWHkqVUH7DWSFEWnDoECFVDuiRX7dfVV6NpEUaOIm2k/mrfQ4x6rqYeCtKh8AQER6mh24IMyD7Q9BApEJB21VqJ76HCxcw9OkQyiFa3FqnVEt0RKsshpr0qZRIUquzWJi6gQiRLuBIXIVQo5bQ1bqXVCUyrXU0dZIbE3tX7rnZrxHV0qa6RJiOx2yDvCES1hyBLtW0J9awfHqD1CYxeTa1xwStfOKcPQ84BKM6B4AhVJK80Xw2vB1grqtUJjEbjile+cKLaK3FxLrcwh0Fct4ATF9ACo9F4nsoStUkJFUVgs6r6VQFIK+zh02i8iLUC0tPgyPdQehrKi9XK9GOba5f8DQB0C0aj8STmYLWMoTgXItuqeThRSeqYDpH8H72aWuN1zCEQ0xkqCwEBbftAeBtve2UIrU9g9GpqjQse/8KxVkDmXqgsgqhk1ZLJ/UXNxYlONuaZXqTVCYxG44rHv3DMwWoNWEkOxPdSeXVKciAyyXM+eBAtMBqNp4lIUNuZdgCiR5E0Go1haIHRaDSGoUMkjcdotevAWjFaYDQeQ68Da33oEEmj0RiGFhiNRmMYWmA0Go1haIFxB5WlddsaTStHd/K2lOJcyPwJEnqp7GROO7pd/dfYrFBeqNafuNoBjl4H1vrQAtNSygvBWgqZuwET2CuhogCoR2DsNsjeB4VZ0O48KM5WdnJ/tbo2gPGZdWB2m8rDEhpT09a4HS0wLSWuK1jL4PQhtR/VHuJ71n++MKkMZvZKOLFTZbMPjlBrVDTGY7dB9n4oyobkFCg86bAHtIpWpKcxsvBaJyHEeiHEXiHET0KIOS6v3S2E2O84/qJRPniE4lxVEgShtuIsVY60PoSANl1UmVNnXaI23fQ3qMdw1EKylkL6NpUP13lM43aMbMFYgfullNuEEFHAViHEN0AScDUwQEpZLoRINNCHZtGkGaflhepbMa4bBAVDzi+NCJH2Q3m+Ot9WCdk/qzrKPh4i2e12Tp8+TVZWFqdOncJqtWK1WrHZbJjNZsxmM8HBwSQkJJCUlERkZCTC15IomUyqHlLJKSgvAATEdoIwh8CXF0FIpFddDCSMLLx2AjjhsAuFEPuADqjKji9IKcsdr2UZ5UNzadKM07iuEBwOEW1V6yQ4Qtn14QyRgiNVv0tRtiqI5iMhUlFREXv27GH37t3s3r2bAwcOkJmZSWZmJtnZ2URGRpKYmEhcXBzBwcGYzWZMJhM2mw2r1UpZWRk5OTlkZmZit9tJTEwkKSmJ5ORkzj33XFJSUkhJSaF3794EB3vhd7bbVEb/8gIwmVUButyD0OdK1Qg9dQjapQT0CmdP4pE+GCFEV2AQsBl4CRgphHgOVTr2ASnlljqumYmjrGznzp094WbziUys264LIVQd5Oj2SphCoqttDyOlZM+ePaxdu5b//Oc/7Nq1i5MnT9K3b98qIRg3bhzt2rUjKSmJtm3bEhLS+OTUxcXFZGVlkZmZSXp6Onv37mXlypU888wzHD58mB49ejBw4EAuvfRSRo8eTadOnQz8bZ04wiFLuCNN5Q7I+glO/ab6xYQJbBXGulBWCLZyJWKudgAipMGJhoUQkcB/gOeklCuEEHuA9cA9wFDgI+AceRZHUlNTZVpamqF+upJRlFFvC6Z9ZHuP+WEEGRkZfPPNN3zzzTesXbuWyMhIRo8ezahRoxg4cCA9evQgKMj4gvalpaXs27ePrVu3sm7dOtatW0d8fDyjR49mzJgxjBo1iuhogwqi2e1QWayqOdptkLFdjeaBmmIQ392Y54KqJnB8uxoYaNtbDQ5YK6DDYJ/vZBZCbJVSpjbpGiMFRghhAVYBa6SUrziOfQX8WUq53rF/EBgmpcyu7z5aYFpGYWEhn376KYsXL2bHjh1cdtlljBkzhjFjxtCtWzdvuweo/p2dO3dWid+WLVsYP348U6dOZezYsZjNBjW2Tx9WfWCgsvqbLNB+gHEtCikh91cVluH47EW3h8Rz1TwqH6Y5AmPkKJIA3gb2OcXFwUpglOOcXkAwkGOUH60Vm83GmjVruOmmm+jUqRMrV67krrvu4sSJEyxfvpyZM2f6jLgAmEwmBg0axIMPPsg333zDwYMHueSSS3j22Wfp2LEj9913H9u2bXPvQ6VUrQcRpPpd4s4BpLEhkhAqPWaQo/9JmBz7vi0uzcWwFowQYgSwAdgNOMZjeRhYC7wDDAQqUH0w357tXp5uwfhz3pKysjIWLVrESy+9RFxcHNOmTWPy5MkkJPhvjP/LL7/wwQcf8N5779GxY0fmzZvHlVde6Z4RKimhNE+FJ662UThDpIoC1f9WXqhaTTpE8h6eFhh/pKCggAULFvDqq6+SmprKvHnzGD58uLfdahK5pbkUVxbXOh5hiSA+LB6bzcYnn3zC888/j81mY968edxwww3GhU9G4AyRKktUWHT6cLXt460YLTCtkOLiYl588UXeeOMNxo8fz4MPPkj//v297VazOFpwlCs/u7LW8dW/X03n6OqRRCkla9as4fnnn+fo0aM8/vjjTJs2DZPJTybLSak6l4PMNW0fx6f6YDTGIqVk2bJl9OnTh4MHD/Ljjz/ywQcf+K24NAUhBOPHj+c///kPS5Ys4R//+AfDhg3jxx9/9LZrjUOIakFxtQOQwP3NApidO3dyzz33UFBQwLJly/wuFHInF110ERs3buSDDz5g0qRJjB8/nueff56kpMCsM+Rv6BaMH1FaWsqcOXMYO3YsU6ZMIS0trVWLixOTycTUqVPZv38/cXFxnHfeeSxYsAB/CP8DHS0wfsLu3bsZOnQoWVlZ7N27lzvvvNMjE+L8iejoaObPn8+GDRt4++23mTRpEjk5egaEN9Ehko8jpeSNN97gqaeeYv78+UydOtX3FhC6iQhLBKt/v7rO402hb9++bNq0iUceeYSBAweyePFiLr300qY5U1mmhpAj29a0NU1CC4wPk5OTw4wZM8jIyOC7776jV6/a2eACifiweOLD4t1yr+DgYF566SXGjBnDzTffzNSpU3nmmWewWBoxFGytgMw9UHoaEs9T6TjK8lTOmIbWmmlqoEMkH2Xfvn1ccMEF9OzZk02bNgW8uBjF2LFj2bFjBzt27OCKK64gLy+v4YvMwRAer/L1nNylitOHROk0Ds1AC4wPsm7dOi655BIef/xxXn75Ze+kNQggEhMTWbVqFX379uWiiy7i0KFDDV8UlazSaiABATEd1QpsTZPQAuNjfPTRR0yZMoWPP/6YadOmedudgMFsNvP6669z5513MmLECHbt2lX/yc4QqbIYLBFqrkrWPijyudRFPo/ug2kAT65LevPNN/nTn/7E2rVrW8WEOW9wzz33kJSUxOjRo1mxYgUjRoyofZIzRLLbVFKwwpNKXHSI1GS0wABYy1Vms9jOYLdW26Ygj9VTfuedd3jxxRf573//yznnnOO2+2pqc8MNN9CmTRuuueYa/vWvfzFkyJDaJ8V1U2kUzCE1bU2T0CESqHwg2ftVM/jkHmWf+s1jj1+xYgWPPvooX3/9tRYXDzF27FgWLlzIhAkT2L9/f90nuQqKFpdmoVswALFdVBLo/GNqPyRGfWN5gLVr13LnnXfy1VdfGTJS1NAK5dbMpEmTyMvLY9y4cWzYsMF3U7PabSpvjBA1bT9ACwyAJUwl67Y6yr6GRqks/wbz448/cuONN/LJJ58wePBgQ55RXFlc7wrl1i4wANOnT+f06dOMGTOGDRs2kJjoY/Nc7DbVsg4KVqFa9s/KTujpFyKjBQZUSOSc62CzQv5xJTAJZymg1kJOnjzJpEmTeOutt7j44osNe46mYe677z6ysrK4/vrrWbt2rW/llykvUh3MtgoozlHlbiwRqoXtB53OPvRONoxhIzqxXdQfMLGvEpjcX6pCJCPqKdtsNm688UZuv/12Jk6c2Oz7aNzHs88+y7hx43jyySd59tlnve1ONWEx0K4fZOxQ4mKyqJEtPxAX8DeBMWpEJywG2g9WRbmghm1EPeWnnnoKgCeeeMKt99U0n6CgIJYsWcLgwYMZMWIE48eP97ZLCrtNtWCkzbFvVfuhMX4RIulRJCeu2dAMzIz29ddf8/bbb7N06VK9GtrHSEpKYunSpUyfPp3jx4972x2FM0Qyh0NSikqrWXgSKmp33PsiftWC8XdycnKYNm0aS5cupV27ekrLuhl3rVCmOFf1UZmDa9r1UVmqvm0t4Sr8dNom3xbVSy65hHvuuYebbrqJ9evXez8NZ1iMWmQZZFatFkuYsv0kRNItGA/y0EMPcf311zNq1CiPPTM+LJ7O0Z1rbU0aQSrOgW2LqlcYb1sEmT+pKfV1IaWq0f3G+ao/6+QuZTunAfg4f/zjHykpKeH999/3tiuKiHglLmfafoBhLRghRCdgMarYvQQWSilfc3n9fmA+0FZKGfBZgX744QdWr17Nvn37vO1K05F2OLYZNrwM54yCn1dDm26qjlBdrRghVH3u2C6wcJQqydrnKr9ZLBgUFMSCBQu46qqrmDhxIm3a+HY5EV/GyBaMFbhfSnkuMAy4SwhxLlSJz1jgaFNu6BzROXNryYiOJ7DZbMyePZuXXnqJmBj/+fapIjIRrnlLCcT+VTDkNugxWjXf6yOsDVx0tyrJYauEkfer9T1+QmpqKpMmTeLRRx/1tit+jWECI6U8IaXc5rALgX1AB8fLfwEepKp2ZuOIComifWT7WpuvF0NbsGAB0dHR3Hjjjd52pXkU58D3b6i5QnHnwK4PVenTs4ZIB+CTGdD7Cuh4Piy+ym9CJCfPPfccn376KVu3bvW2K36LRzp5hRBdgUHAZiHE1UC6lHKnX6Z+rChWMymDLDXteigsLOSpp55i/fr1/pvqUtrh5E645h/Q/TL4fLYq2t5QiDTyf2HIrWqodftivwmRnMTFxfHss88yd+5cvv32rMVHNfVgeOE1IUQk8B/gOeArYD0wVkqZL4Q4DKTW1QcjhJgJzATo3LnzkCNHjhjqZ6MoL4ITO9Wygrhz4ORuZSedV6/IvPLKK2zevJmPPvrIw866maJs9TuGxda0z0ZZoVp2cabtR1RWVtKjRw8+/vhjLrjgAm+741V8rrKjEMICrALWSClfEUKkAOuAEscpHYEM4Hwp5cn67uMzlR3LCyFjJ1Q46gnbKyGqncrbWsc3eXl5Od27d+eLL74wbK2Rxnj+7//+j/Xr17NixQpvu+JVfKqyo1DxwNvAPinlKwBSyt1SykQpZVcpZVfgODD4bOLiU4REQds+ajWrvVKtV2rbp975IEuWLOG8887T4uLn3HbbbXz33Xf+OQLoZYwcRRoO3AJcKoTY4diuMPB5xlNeBDn7VZ+EyQzWMrW61VZZ61SbzcaLL77IQw895AVHNe4kPDycu+++m5deesnbrvgdhnXySik3Amft1XS0YvwIqca9otqpeSAn9ziO1Q4z161bR0REBJdcconHvdS4n9mzZ9OtWzdefvllPS+mCeiZvE0hJAraD1R9LmGx1XYdIdKyZcu4+eab/XfkSFODuLg4Ro8ezWeffeZtV/wKLTBNJSSyWlBcbRfKy8tZuXIl119/vYed0xjJ5MmTWbZsmbfd8Cv0YkcDWLNmDf3796dDhw4NnxygBGKqziuvvJI77riDrKws38t856NogTGADz/8kMmTJ3vbDa8SiKk6w8PDufLKK1m+fDl33XWXt93xC3SI5GasVitffvkl11xzjbdd0RjAhEkT+OjTjzhZmE523mEyijI4WZhOcaEuylYXugXjZnbv3k3Hjh11EzpASRmawtYZW8k9vBFTeT6ViX0ILsoiRAQT0e0Sv0ql4Al0C8bNbNq0iYsuusjbbmgMIi4hjoSkBH755RjW8jyCMrZTefq3OqcqaHQLxu1s2rSJ0aNHe9sNjYGcO+RcNu/PpHfnXljLTyOECdr2clvrxZPlio0mMAVGSijOgsikmrYH2LRpE4899phHnuXLuC1Vpw8yYEgKP238AeslbTEFhWC3lav0FFHt3SIynipX7AkCU2ByDsDpIxDfXeWCPX1E1TiK62boY7OyssjLyzOkQqO/ER8W77ejRQ3Rb/B5LHvzA8whsViT+mIpzKSBSeutlsAUmNBYEEdVXlikytkSEm34Yw8fPkz37t29nyhaYxhRligu7D+CkydPEdftMmwhYZhizyEYs+7grYPAFJjIRIhIhMIMEEGq6Rph/LfpsWPH6NSpk+HP0XiPqJAoohKjiIyMBGsk7eM9E3r7K34nMA12gJWchqyfoLIcgkJV7paCDLCEGh4iaYFpPXTq1Iljx46RlKQF5mz4n8CcrQMsKESV08g/rgRFmFR9npBoj4RIWmBaD06BSU1tUv6lRmFEuWJvcVaBEUL0kVLuF0LUmTHJmdTbZzAHQ2IfsJZDRZFK65jQU5XPCDY+H+zx48cN+YfzZbIKy7DaJOHBQcSGn6UQm4/S3DVTToExAiPKFXuLhlow/4vKi/tyHa9J4FK3e9RSRBCYRPUqZxGkquF5gLy8PONyhVgrVFb/oBCVNsJpe6BvqU53bHZ+zSpi3ord/HyykIt7JfDEVefRPtYz77W7aO6aqTZt2pCfn2+kawHBWQVGSjnTYV4upSxzfU0IEWqYV83FWuGoOFgOUcmqxOnpQ+oDGZ1s/OOtVsxmg6LOikL461AYfi/0uBTeuwquXqDKgpjrr2pgFNmF5dzy9o9kF5UDsOanTKx2yfzrBtDGD1syTcVsNmO1Wr3ths/T2E/DJuDMMKmuY97FGSIV50BCLyg9pWwPTbKzWq0U24o5WlC7nlzL0xQEwRUvwcpZsP5Z6DUOOg/zirgAFFVYq8TFyb9/zqas0uYVfzyNxWKhuNg/CtB7k4b6YNqhiqWFndEPEw14pchNgx1gEQlqO9P2ACaTiZKKEmPSFASHQ2Lf6v3Ec1URdE9QWVodZjrscEsQwUEmKmz2qtN6tI3E1EomnNlsNoKCgrzths/T0H/oOGA6qrzIfJfjhYBXsln7cgeYxWLBWmlQs7miEBZNgF7j4ZzfwVfzIHmQ8SFSeTFkbFMhZnQHOJ4G0cnERnbh6avP47HP91Bpk0SHmXnx2v4kxfhe5NxiCjOh6CTE91SlawpPUFlWjCXU/5c9GE1DApOAqmu0CtWp6/x6koCxk0r8kPDwcEpKSho+sVkEweSljjIpoaoF07aP8SGSrRzWPqGG/i+6B9Y9CRfMImLEfVyRkszInm0pKrcSHWomPsL/+l4aXDNVUQI/fQbfPAZ/eAu2LYaMbZQUT6BdG8+1jv2VhgQm0vGzNzAU+BwlMlcBPxrol1/SoUMHTp44CUakggmPhS4jwNksd7WNJDxOCds/RsHXj0CPMTB8DoTHEQ1Eh3mnD8hdNLhmKjgc+l0Dx3+Ej6eqqQ+3r+P4nGdJHabTcjREQ6NITwEIIf6LKpBW6Nh/Eqgt+y4IIToBi4EkVItnoZTyNSHESyiBqgAOArdKKfNa9mv4Bp06deLw8cP1C0xZvloX1dxhc1dB8VT8X16saj8VZ4MpCE7ugrI8j/ZteR0pofS0su02KMvXkyobSWN7CZNQguCkwnHsbFiB+6WU24QQUcBWIcQ3wDfAQ1JKqxDiz6i+nD820W+fpGPHjmzZvqWqyR2EhKIsCI8nIigEFv4OrlkIyYM9JxAtxVYO656C/pNhzDOweCJsfQ9G3KdaN4GOM0Q6vgVuWwtb34Xl0zh2rJKOHTt62zufp7ECsxj4UQjhLAozCVh0tguklCeAEw67UAixD+ggpfza5bQfgGub4rAv06lTJ7Iysugc3VkdKMqC7xfC3s/AEqE6SqOS/UdcoDpEEiYIbwM3LXfYrUBcoDpE6jUOojvC6CexXnQfmY+e16qrRjSWRuUVkFI+B9wKnHZst0opn2/sQ4QQXYFBwOYzXpoB/Kuea2YKIdKEEGnZ2dmNfZRX6dy5M0eOHKk+EJkIlz2qSsuW5alJcv4YWkS1U7/LmXZrITJRLZQ1WyAykfTSYBISErBYfKT/yW6DnF+horSm7QM0eiKFY91Rk9ceCSEigU+Be6WUBS7HH0GFUUvqed5CYCFAamqqXyQ87dKlC4WFhWRmZqpVtvnp8O4V0LY3tDkH/nmPSoLlTyGSphZpaWkMHuxDc0xPH4bcX6AkV7W48o+r4fT2A8HLlUUNnaklhLCgxGWJlHKFy/HpwATgMikDJ1uyyWTiwgsv5Pvvv2fSpElqxKH/ZEi9Fcwh8MPf/C9E0tTC5xK7R3dQ4lKSq2avm8Mh/hyviwsYWFVAqKLMbwP7pJSvuBwfDzwITJRSGjVpxGtcdNFFbNq0Se1EJqq5IzEdIaJttR1IFGSovqYz7QDG5wQmyFJzZNISrEYrfQAjczsOB24BLhVC7HBsVwB/BaKAbxzH/magDx6nhsAAhMXUbQcCJadg2U1qVnFxDnzwB9jwijoeoJSVlbFr1y6GDh3qbVeqOX1YhUXmcAhrA6V5kLXfJ0qpGBYiSSk3Uncm5C+NeqYvcP7557N9+3bKysoIDQ3AafOuWMJg/PNq6PqnFSr8u2BmQI8wpaWl0bdvXyIifGiZQHQHKCtQYVFQCGTt85kQye8y2vk6kZGRDB06lK+//pqJEyd62x1jsYSpZF7h8So8SujlkcyBzaG5iaXO5PPPP2fcuHHudK3lWEJrduj6QOeuEy0w7sJlxfHk665h2bJlgS8wJadg2Y2AgAmvqlDpv/Phkgd9rhXT3MRSrtjtdj766CO+/NIHG+GuguIj4gJaYNxDQYYqkZLUD2zl/OH8Lsx75DGKi4t9qyntbixhcPkLqgM7ugMknatsHxMXd/H9998THR1Nv379vO2K36AL+LiD8kLVgsnYASf30DYmlGFDBrJq1Spve2YsljCVMiLuHDUM77QDlGXLljF58mRvu+FXaIFxBwm9ICoJ7BUgbdCmK5NvuZUPP/zQ254Zjzm4bjvAsFqtLF++XAtME9EC4w4KT0BRNmrQTED+ca4Z9zs2btzIb7/95m3vNG5g+fLl9O7dmx49enjbFb9C98G4g3JHIThnyZTTR4gOFfy///f/ePnll3njjTe865+m4cRSZ0FKyQsvvMALL7xghGsBjRYYd5DQC8LiILKtmtzksO+55x769u3L448/risAepkGE0udha+++gqA8ePHu9OlVoEOkdyBEEpczrCTkpKYMmUKr732mhedqwebVa28PdPW1OL5559n3rx5CB8a/vUXhD+sNUxNTZVpaWnedqPhuth1cOjQIVJTUzl48CCxsbEGe9hIbDbI2Q8msxr1yTmg7PgeKmudpoqNGzcydepUDhw4YFzNKz9BCLFVStmk0qW6BdMEnHWxz9zqEh0n3bp149prr+Wxxx7zoKcNUHYa1j4J714Ou5erlBLrn6tOC6kBVGmSOXPm8OSTT7Z6cWkuWmA8wJ/+9Cc+/vhjtm3zkVLeEQkw8a9qiv/KWRDbCa6Y75/JsAzk73//OxEREdxyyy3edsVv0QLjAeLj43nuueeYPXs2dru94QuMxmZTta2LMtV+Qbpqveh+mCqysrJ44okneOONN3TfSwvQAuMhZsyYgRCCd955x9uuVIdI7frD3IOqoJgOkWrw4IMPMnXqVFJSUrztil+jA0sPYTKZePPNNxk/fjzjx4/3bkb6iAS46nU14hWRANe9V21r+Oabb1i7di379u3ztit+jxaYJtBgXewGGDRoEHfffTdTpkxh/fr13u04jE6u227lZGRkMHXqVD744AOionyzRLE/ETghkmvfhkH9HFEhUbSPbF9ra0qt7IcffpiIiAgeffRRQ3zUNB+r1cqUKVOYNWsWl112mbfdCQgCQ2BOH4WsvaqT0tX2QUwmE++//z5Llixh9eqzFsfUeJgnnniC4OBgHnnkEW+7EjD4f4hUWQp5R6CiCCqKVf0hYYLIpOrZtT5G27Zt+fDDD/nDH/7A5s2b6dq1q7ddavV8+eWXvPfee2zbto0gXfXBbfi/wFjCILk/pG9TJRuECdr29VlxcTJixAgee+wxxo0bx4YNG0hMDOxiZu5KWWkEmzdvZvr06axcuTLg/w6exv8FBqA0H2yO0tnSroZh7ck+P+39f/7nf8jOzmb8+PGsX7+emJgAqzrggjtSVhrBnj17uPrqq3n33Xd9qxRJgOD/fTDOEAmhKihawqHwpN+UznjyyScZPnw4V111FaWlvlHus7Vw6NAhxo8fzyuvvMKVV9YWP03LMawFI4ToBCwGkgAJLJRSviaEiAM+AroCh4HrpZTNn+HlDJHKiyCmg5r+Xl7kkRCpqYsf6zv/2RefZfbts7nuuutYsWIFwcGBmxnOVzhx4gRjxozhoYce4sYbb/S2OwGLkS0YK3C/lPJcYBhwlxDiXGAesE5K2RNY59hvGaExSlycdlQyVDiKRtrt1babaerix/rOL7YVs2jRIiwWCxMnTqS4uHZfhcZ9HDx4kJEjR3Lbbbdx1113edudgMYwgZFSnpBSbnPYhcA+oANwNfCe47T3gElufbDdDrkH4MR21ZJx2hW+/aG1WCwsX76c5ORkLr30UnJycrztUkCyY8cOLr74Yu6//34eeughb7sT8Hikk1cI0RUYBGwGkqSUJxwvnUSFUHVdMxOYCdC5c+fGP8xuVS2WsgI49qPq/DWHqFSWwb5dQsRsNvPOO+/w8MMPc+GFF7J69Wp69ao9c9iTuGv0pyUpK93F6tWrmT59Om+++SbXXXedx57bmjFcYIQQkcCnwL1SygLXlalSSimEqDPjlZRyIbAQVMKpRj/QHAyJ5zlKiZSgOn/7+E2tHiEEzz//PN27d2fkyJEsXbrUq7NK3TX605KUlS1FSslrr73Gn//8Z7744gsuvPBCr/jRGjFUYIQQFpS4LJFSrnAczhRCJEspTwghkoEstz7Uboe8Q2p0SQSpMiKnfoPQaJ9vwbhy++230717d26++WamTZvGU089hcViadE9PT0XxRfmvuTk5HDbbbeRnp7Opk2b6Natm0eeq1EYOYokgLeBfVLKV1xe+gKYBrzg+Pm5Wx/sDJHMIZB0HuQfh7J8Q0Kkpi5+bOr5o0aNYvv27dx6662MGDGCpUuX0r1792b76+m5KN6e+/Ltt98ydepUbrzxRpYvX65H57yAkS2Y4cAtwG4hxA7HsYdRwvKxEOI24AhwvVufag5WJVwrSyAsFkJjq203ExVSfy7eJp9fVqjm8yT0UmLosBMTE1m1ahWvv/46w4YN49VXX+Wmm25y028QQFQUw6lDEN+TyopSnnhoLu99+iWLFi1izJgx3vau1WKYwEgpN6IqkdVF0zoVmpqY3BxcXWXQ1fZVpFSJt4uzwFqmwruKIjXHJ747QgjmzJnD7373O6ZMmcKHH37IX/7yF3r27Oltz32H3F+hIIP1/9nA3Y+/RNfkBLZ/s5zEc/XsXG/iH0sFKorVcoCwAJ1KLxyzkK2lUJytjkW3h9iao2cDBgxgx44dvPbaa1x44YXccccdPPLII0RGRhrmmi+M/jSGoyWhPHD/fH7cvodX5t3B7ydNQiT3r32ilOr9PtPWGIJ/LBWQdijP97YXxiJlzZaa3V5nyy04OJi5c+eya9cujh8/Tp8+fVi6dClGlZ+JD4unc3TnWpu3Fyg6KS0t5ZlnnmHQ+Rdxbo8u7F39N64ZOxyBrP3+lRdBhmN+lKutMQz/qIs0sJ9M27HH224Yh5RqNXhxlmMWcjGUF6j+mPizd+p+9913zJkzh4qKCubNm8f1119fb6a8QBpFKigoYMGCBbz66qsMHz6c+Q/OoGuMgIhEsFdAaZ6q+dS2d/VFmT9B3lFw9oOVF0JsV0jq2yJfWgvNqYvkHwKT0lum/fhj4IZIoL5J848rQbGWV9tBDQ9NSylZs2YNzz//PMeOHWPu3LlMnz6dsLAwDzjuWbKysnjttdf4+9//zrhx4/jjH/9I//79VUf+6SMQ1x2kFU4foTKqC8dPZlJWVqYulhJslWrqAqhpDEEWHSadQWhoKB07dqw1LSJwBaZfL5m2cW2tPgmNwnUR5ZYftvDGK2+wc9tOZtw+g9tvvf2sQ9u+MFeF8iIIiaxtO5BSsnnzZhYtWsTHH3/M5MmTeeCBBzjnnHPOettDhw4RFRVFfHy8Kj1itykhko6UqsKkVt/7eFoPTyKlJDc3l8LCwlpzhpojMP7RyRscpsXlLDgXUQLE9I7h4b8/zKGfD/Hdiu+48MIL6dWrF1OnTuW6666jTZs2Na719lwVSnJh7xfQY7QSlp9WKju2E4cPH+aDDz5g8eLFCCG45ZZb2Lt3L+3atWvUrcvKyujatWt1XSNbhRIXk+Ob2V6pjpkCr6XXXIQQxMfHk52d7Zb7+YfAmFo2g7U10q13N8a9OI4Fry1gzZo1LF68mLlz5zJmzBiuvPJKxowZ493SKU7sdvjuVfj+r8hzRvHT6r/xTdQNrPz+AHv37eeGG27g/fff5/zzz29WAbQa15hDAFE9bcFq8v0pDF7AnYXm/ENgNM3GYrEwYcIEJkyYQF5eHitWrOCrr75i7ty5tG3blgsuvoCCsAIi+kQQFOb5UCGjoJK1obfxzYK5rD24nbCoWMZcYed/73+Ayy+/3L2zb4UJLKHV+662xhC0wDSCpiaW8lViY2OZMWMGM2bMwG63s337dpb/czm5y3M5tuAY5hgzoR1DCe0UympWM+qCUfTo0cMt9ZtKS0vZt28fu3btYvfu3VVbRUU5o1I6MaajiScvjad7t85wy9OqXnYrY9GiRYwdO5b27dt72xW3oQWmEbj2cbjSq00vvxIYV0wmE0OGDKFtz7as7rYaaZNUZFZQdryMsuNlfP7J58x/ej5Hjx4lPj6exMREkpKSSExMJDExkfj4eCwWC2azGZPJhM1mw2q1Ul5eTnZ2NllZWWRlZZGZmUlWVhZFRUX07t2blJQUUlJSuPfee0lJSaFjbAjinTFw8VvQfRS8e7kasg+Ph+Bwb79NDWO3q/VvQRY1SuW0mxFmLFq0iH79+mmB0fgWLak4ebaZuvFh8VRWVpKTk1MlFM6fp06dorCwEKvVis1mw2w2YzabsVgs9OrVi5EjR9YQpbi4OEymeuZ1zvw3SAHhsdW2P4iLlGpph71SdR5LmxIYpKO/B1555ZWqeuS33347kyZNYsKECezZo+Z1zZ8/n6KiIvr160daWho33XQTYWFhfP/99+zZs4c5c+ZQXFxMSEgI69atw2KxMGvWLNLS0jCbzbzyyiuMGjWKRYsWsXLlSoqLi/nll1944IEHqKio4P333yckJIQvv/ySuLg4Dh48yF133UV2djbh4eH84x//oE+fPoa9RVpgAoCmLrp0JT4klnibDSIT1TBuSa6yHVgsFpKTk0lONrC8bFibum1fRwjVWrFbwVbuOBYEJvWx2rp1K++++y6bN29GSskFF1zAJZdcUuetrr32Wv76178yf/58UlNTqaio4IYbbuCjjz5i6NChFBQUEBYWxmuvvYYQgt27d7N//37Gjh3LgQOqdb1nzx62b99OWVkZPXr04M9//jPbt2/nvvvuY/Hixdx7773MnDmTv/3tb/Ts2ZPNmzcze/Zsvv3227P/niWnoJlLQ7TAGMSZ/TallaWU2cqIsEQQHFTdcdmsfpzCk2qVuCW0pt1UpISs/VCQDol9VBbAggxIPBdifWCEyQPY7DZssnYV0CARRFBj5seIINV57LyHybEPbNy4kd///vdERKgP5zXXXMOGDRsa5dfPP/9McnIyQ4cOBSA6OrrqnnfffTcAffr0oUuXLlUCM2rUKKKiooiKiiImJoarrroKgJSUFHbt2kVRURGbNm2qkc2vvLz87I6U5EL6DpVPqRlogTGIM/ttTpWeIr04nb5xfTGbqt/2JvfjFJ6EE7tU+omoZMjaB+FtIHlgo2b91kAIdZ+CdMjci2rah0Oof/YrNQebtFFuq/0hCwkKIYgGBMYZIkmbQ2SkmlcjTFUh0pnk5eVhd6mdXjXL2A2EhFQ/02QyVe2bTCasVit2u53Y2Fh27NjR+JtawiAkAkqalyPaPxY7ehlnH8eZW2P6ONxOSIyqnFCSq9bWICEiqeni4iSqnSMscczoju2g7q9pGGeIZDKrEMISpmzHF8jIkSNZuXIlJSUlFBcX89lnn3H55ZeTlZVFbm4u5eXlrFq1qup2UVFRFBaqVm/v3r05ceIEW7ZsAajq7xo5ciRLliwB4MCBAxw9epTevXvTGKKjo+nWrRvLly8H1KzdnTt3nv0iS7hjkmvz5sboFkwjaEkfh9sJDlMtl9LTgFT/2C59Jk3CGSKV5IA5VK3TyT0IQaGtJkRqMU6BEQIwudgwePBgpk+fzvnnnw+oTt6hQ4fy+OOPc/7559OhQ4caHazTp0/nzjvvrOrk/eijj7j77rspLS0lLCyMtWvXMnv2bGbNmkVKSgpms5lFixbVaLk0xJIlS5g1axbPPvsslZWVTJ48mQEDBtR/QUkuZO5r1lsD/rIWKTVVpqWleduNJpFRlNHoEKl9ZBOGJZ0hElJ9u1QUQURC80IkgPx0lbPYWbzOaQdAK2bfvn307Xv2ldIVtop6QyTXvrLWRtV7V1niCMnjEIm9A3QtkqaakBjVbxLZTlWvPLm7ZSGSsxqmJVSJitPWaEB9iSUPavaSCi0wBnHm3JTSyFJ6x/WucxSpSQSHQftB1YLiajeXVjx9PkgEERJUO8QIEnqFdRWWxodgZ6IFxiAM7bdxFZSWiksrJ8gU1PBokabZaIHxAIGylqkGJadVZrggc01bo3FB/0d4gIBby1ScAyd2QkRbiEyCzD3KTjxXi4ymBkYWXnsHmABkSSn7OY4NBP4GhAJWYLaU8kejfNA0nUa1toKCVWhWkK5GtaTdMQdEhxqamhg50W4RMP6MYy8CT0kpBwKPO/Y1PoSztXXmVkN0QqOhjSNdpbRBSDS06apz255BXl4eb775puHPWblyJXv37jX8Oc3BMIGRUv4XOHXmYcC5qCEGyDDq+RoDKc6B7J8BoVoz5flqyYLN6m3PWsTK7ekMf+Fbus1bzfAXvmXl9vQW3a+pAiOlrLGMoLG0SoGph3uBl4QQx4D5wEP1nSiEmCmESBNCpLkrP6jGTQQ5qmXGd4eOqRAc6fch0srt6Ty0YjfpeaVIID2vlIdW7G6RyMybN4+DBw8ycOBA7rvvPi677DIGDx5MSkoKn3+uSrIfPnyY3r17M3XqVPr168exY8d45pln6N27NyNGjGDKlCnMnz8fgIMHDzJ+/HiGDBnCyJEj2b9/P5s2beKLL75g7ty5DBw4kIMHD7rj7XAbnu6RmwXcJ6X8VAhxPfA2MLquE6WUC4GFoGbyes5F99OSfC0+SWg0dBiiREWImraf8tKanymtrLmqurTSxktrfmbSoA7NuucLL7zAnj172LFjB1arlZKSEqKjo8nJyWHYsGFMnDgRgF9++YX33nuPYcOGsWXLFj799FN27txJZWUlgwcPZsiQIQD1plqYOHEiEyZM4Nprr23Zm2AAnhaYacAch70ceMvDz/cKPrWWyV24JoTyh+RQZ8Fmt5GRV1rna/UdbypSSh5++GH++9//YjKZSE9PJzMzE4AuXbowbNgwQBXSu/rqqwkNDSU0NLQq5UKzUi34AJ4WmAzgEuDfwKXALx5+vqYB/KG15e55RTZpo11MCCfya39g28e6p6TJkiVLyM7OZuvWrVgsFrp27VqVqsGZL+ZsNCvVgg9gWB+MEOJD4HugtxDiuBDiNuAO4GUhxE7gT8BMo56vaR5RIVG0j2xfa/OlFlijRrqayJzRXQm11Pw4hFpMzB3XuFQIdeGafiE/P5/ExEQsFgvr16/nyJEjdV4zfPhw/vnPf1JWVkZRUVFVOoezpVpwfY6vYVgLRko5pZ6Xhhj1TI2muVw5IAmA19Ye5mR+Oe1iQrh/bM9m978AxMfHM3z4cPr168fQoUPZv38/KSkppKam1psHd+jQoUycOJH+/fuTlJRESkoKMTFqZXt9qRYmT57MHXfcweuvv84nn3xy1kqenkana9D4HWemwnByZuqLxqRrAN9L2VBUVERkZCQlJSVcfPHFLFy4kMGDB3vUh7reu8AtHdsEWhKfB+SaIY3fMXPmTPbu3UtZWRnTpk3zuLi4k8ATmBas+wm4NUOBjrUcygvUOihrORTnQlOSdznwtZQNS5cu9cpzjSDgBEYT+ERZougV0wNO/wZBEszRYCsgqjhHZeiLaVq/iU7ZYBxaYDR+R9W8ImFWGf0K1HwSItqq9KEan0FXFdD4LyHRYHaZpxLWpt5yIRrvoAVG45/YrJC5GyoKlbCYzJD7qwqRND5DwIVILZmJ6g+zWDUOgswQ2wVMFkjqB6WnVFVKHw6RnnzySSIjI3nggQfqfD07O5sJEyZQUVHB66+/zsiRI5t0/0WLFpGWlsZf//pXVq5cSa9evTj33HPd4XqzCTyBacG6H19cM6SHzs9CVDuISASTqabdHKwV8OFkZV+/GD6equwpy5qdUb+prFu3jpSUFN56q+VL9FauXMmECRO8LjA6RPJxjJgWH1C4CkpzxQWUuBzZpLZX+lbbTtFpJs899xy9evVixIgR/Pzzz0DdaRd27NjBgw8+yOeff87AgQMpLS1l1qxZpKamct555/HEE09U3bNr167k5KhSrmlpafzud7+r8UxfSuEQcC0YjaZFWEvVBjU7kJvB1q1bWbZsWVW6BmfqhfrSLjz99NNVIQ4ocYqLi8Nms3HZZZexa9cu+vfv3+BzL7roIp9J4aAFpg58OSwprSyl1FrK6bDTNY77gm8twmZV+X2j26scv067Ja2SpnD9YtVysbqkZwiywA3vN/uWGzZs4Pe//z3h4SqdxcSJEykrK2t02oWPP/6YhQsXYrVaOXHiBHv37m2UwPgSrUNgCjNVxcIgc027vtN9eEZvqbWU9OJ0okOiyS6tzvTnC761iJwDkHdUlcK1V6rRIGspJPT0zPM/nqpqc7tiq4SPboFbVrjtMY1Nu3Do0CHmz5/Pli1baNOmDdOnT69K72A2m6tSazqP+SqB3weTd1yV2MjaC6cPO+x90IzcpxoDiWyn5rCcPgT5x1USq8hEz/thDqs9v6aZXHzxxaxcuZLS0lIKCwv55z//SXh4eL1pF1wpKCggIiKCmJgYMjMz+de//lX1WteuXdm6dSsAn376aZ3P9pUUDn4vMIXlhWQUZdTaCssdb25otErnWJAOWfvVsYi4RjW9zcKMSZiqbIHnU0I6h86dW++43vSN60uYGz4APkVotKq57SQsHoI92CKbsgy6XKS2/91XbU9Z1uxbDh48mBtuuIEBAwZw+eWXM3ToUEClXXj77bcZMGAA5513XlV+XlcGDBjAoEGD6NOnDzfeeCPDhw+veu2JJ55gzpw5pKamEhRU9xKHyZMn89JLLzFo0CCvdvL6R7qGwYNk2oa1EBFf67VGLd3P/RVyHMnzwuJUDtmzhEgZRRn8lneQhJI8bOZQCkIiaFOcS2JMV+KSUtzyOzWXxqYqaBZ2O1SWQEhkTdsTZO6FvCNgiQBpVcPG8d1bFCI1Nl2DpjbuStfgHy2YyhIV2pTmN/3avOOQexBEkGr2lp5qVIgUa7djO3UQMvfQ5vQxKnN+RuT+ChUlzfwlfBy7XfWDpG+D0rxqu6wZ73lziGynWjDtB0C7gRAW450QSeNW/KOTV9rVRKrmfJuGRqumdlwX9fPkngZDpChLFCKuF6HBbbBn/QQ2KyK6CyHtUz2b4Lo0T32rt+2rRDbvCFGxHQ2abSzBboXKYjiepmxzCNhtDV/qDiLiIHRodcvS1db4LX7yFxRqpWxz6u6ERqvaPc7ZmK52PUSFRBEVHAmlhRDSBpCqBSQ82OCz21VoV5ytwoWKYrCWEhUSTVRcN/c/zxQEbXurFkt5ASDUfnhcg5e6bVjfVVC0uAQE/vNXPLlb9Z2ExTT9WldBaey075JTqvVgskBsRzUClfOLWljniVaMyaSKyWdshxI1a5PYzmozArtdhZLlhWrhoN0KOb9QjIl8U+1w0lU8fHlYX+Nd/ENgzMH1hkiGLVCMiIe2fdQIVEQCWMKV7ckQyVZRc25GZZn64BtSQVFWh0Xt+kPhCSjOpsxaxIHi47XO1uKhaQyGCYwQ4h1gApAlpezncvxu4C7ABqyWUj7YsJeh6sNeR7+JoQsUYzvVbXsCZ4hkLYWYTipsKc5SK4aNCpES+0JFJwiNUR2uFZ0otxZDsfsfp2kdGNmpsAgY73pACDEKuBoYIKU8D1WfunF4asq4r+AMkeJ7qg9+8kBlGxUigRKZ0JjatsZjPP7446xdu7bW8X//+99MmDChSfeaMmUK/fv35y9/+Qv79+9n4MCBHp8XY2RdpP8KIbqecXgW8IKUstxxTpZRzw8IgsMhoUdtOxCxVapOdFNQTdtDDFsyjGJr7aZahDmCH276wWN+PP300265z8mTJ9myZQu//voroOpkX3vttTz66KNuuX9j8XSzoBcwUgixWQjxHyHEUA8/X2MAZ842dm6N7gezVaqlHNn7obK82vbUEDnUKS5nO94YDh8+TJ8+fbjpppvo27cv1157LSUlah7V008/zdChQ+nXrx8zZ87EOeF1+vTpfPLJJwB89dVX9OnTh8GDB7NiRd3rocrKyrj11ltJSUlh0KBBrF+/HoCxY8eSnp7OwIEDeeqpp3j11VdZsGABo0aNavbv0xw83clrBuKAYcBQ4GMhxDmyjunEQoiZOErLdu5sYFgQQBixCrwxnegt7gerLFVzfipLoDhH/QyOAmsZBDdct9mX+fnnn3n77bcZPnw4M2bM4M033+SBBx7gf/7nf3j88ccBuOWWW1i1alVVoXtQwnHHHXfw7bff0qNHD2644YY67//GG28ghGD37t3s37+fsWPHcuDAAb744gsmTJhQtahSSnnWbHpG4ekWzHFghVT8CNiBOnMcSikXSilTpZSpbdu2NcYb11m57pqh66qVHl6GYURyKo/Uqg6NhnYpani8skRNDUju7/fiAtCpU6eqdUQ333wzGzduBGD9+vVccMEFpKSk8O233/LTTz/VuG7//v1069aNnj17IoTg5ptvrvP+GzdurHqtT58+dOnShQMHak8Z8BaeFpiVwCgAIUQvIBjI8bAPitNH4fgWNd/F1W4Jtko1U7g4p6atOTu2Ssg/pobJEY50Dcc8GiIZgt2OEKLKxm5DCEFZWRmzZ8/mk08+Yffu3dxxxx0+n3ahuRgmMEKID4Hvgd5CiONCiNuAd4BzhBB7gGXAtLrCI8ORUn1TVpZC+nbI3qcqA1aWNnzt2SjKUqkG0rdDxk71Icn+WSVT0tSPM0QKjoT2A8EcDiWnVYjkr9jtUFnK0aNH+X7jBqgsYemS9xkx/KIqMUlISKCoqKiqz8WVPn36cPjw4aoRnw8//LDOx4wcOZIlS5YAcODAAY4ePUrv3r0N+qWajpGjSFPqeanutp4nEQISeqnkRsWOpE0JvZpcEbAWUcmQ+xtk7YGYjirsauk9WwOh0WoYXpggNEotShUmj4ZIEeaIekeRsNurp0m42mdDCDAF0btXT95446/M2L6Dc/v2YdadswiPjOSOO+6gX79+tGvXriqNgyuhoaEsXLiQK6+8kvDwcEaOHFlnfpfZs2cza9YsUlJSMJvNLFq0iJAQ36kN5R/pGlJTZVpamntvevqoarmAWkxpDoXkAY1ae1MvZflw4GvI+VnN/JVA+0HQYVDNXCcGYWgqBz/ELekabFY12dEcCohqO8jS4KWHfzvIhKuuYs/W79UBS3ijrvMF3JWuwT+WCrgbZ4gkTGqlckWRCmdaGiKVF6m5GxFtVd6Z3IOqPyHYMzlVWn1dJynVWqrQaGVLN2QttFvVfar+N6TqG2pIKOx2tbQDAKGuqyx1tGxaz8eu9fymrjhDpIi2as2R3V5tt4SoZLWFxAASks6FqCS3uNyox/tgXSePISWF2fspLExXyzrKi7BZTVRYywgyWQhq7qQ9cwgg1bowUCNcjSlPKwRdzzmHPdt+VGvYbBWOTuvWNSO9dQoMqDjaKSiudkuwlqpvO4FqGZ0+BMW5qoXkgRCpVSMlhdZiDmTvgpw9IO3EhA6nrLKU0GATQTRTYOy2mgtO7Va1NdSCEUKFUlKq/y/hYvs47uw2ab0CYwTBEdCun4rbI+LV6m+bVYuLJzCZIDJZ/Q0qigCwBVnJzy8iJKEFK+DtVkBCkKPVYitvXIgESmScw9Sutg8jpSQ3N5fQ0FC33E8LjLtxXSCoFwt6Dimh6KRKzIUJkBSX7iIzJ4j8U/kEiRasa7LbqtdFudoBSmhoKB07dnTLvbTAaDyGoQXtpASk6kCN7QIVRciSXIpCMmmf3LlVjqL5AlpgNB7D0Mx3zhApvrsKk0KiVGgaAMsN/BktMH6KL5e39RZRIdH0ShpU+3hrGab3QbTA+Ck6D25tWvUwvY/iFzN5hRDZwJEW3iYBby2srI32pW60L7XxFT8Aekspm6TgftGCkVK2OF+DECKtqdOcjUL7UjfaF9/1A5QvTb3G92f9aDQav0ULjEajMYzWJDALve2AC9qXutG+1MZX/IBm+OIXnbwajcY/aU0tGI1G42G0wGg0GsNoNQIjhAgSQmwXQqzysh+xQohPhBD7hRD7hBAXesmP+4QQPwkh9gghPhRCuGf5bOOf/44QIsuRn9l5LE4I8Y0Q4hfHzzZe8uMlx99nlxDiMyFErNF+1OeLy2v3CyGkEKLOKhye8kUIcbfjvflJCPFiQ/dpNQIDzAH2edsJ4DXgKyllH2AAXvBJCNEBuAdIddQNDwIme9iNRZxRWhiYB6yTUvYE1jn2veHHN0A/KWV/4ADwkAf8qM8XhBCdgLHAUQ/5UacvzSn93CoERgjREbgSeMvLfsQAFwNvA0gpK6SUeV5yxwyECSHMQDiQ4cmHSyn/C5xZJ+Zq4D2H/R4wyRt+SCm/llI6S0H8ALgnd0EzfHHwF+BBVJZnj1CPL00u/dwqBAZ4FfUHckOS1hbRDcgG3nWEa28JITy+3FdKmY769jkKnADypZRfe9qPOkiSUp5w2CcBz+UbrZ8ZwL+89XAhxNVAupRyp7d8cKHJpZ8DXmCEEBOALCnlVm/7gmo1DAYWSCkHAcV4JgyogaNv42qU4LUHIoQQ3i8n44KjXpZX51AIIR4BrMASLz0/HHgYeNwbz68D19LPc1Gln8+api/gBQYYDkwUQhxGFXu7VAjxgZd8OQ4cl1Judux/ghIcTzMaOCSlzJZSVgIrgIu84MeZZAohkgEcPxtsghuFEGI6MAG4ySvFARXdUV8COx3/vx2BbUKIdl7yp9Gln50EvMBIKR+SUnaUUnZFdWR+K6X0yre1lPIkcEwI4Sy9dxmw1wuuHAWGCSHCHd9Al+EbHeBfANMc9jTgc284IYQYjwqpJ0op3VS0vOlIKXdLKROllF0d/7/HgcGO/yNvsJKmln6WUraaDfgdsMrLPgwE0oBdjj9YGy/58RSwH9gDvA+EePj5H6L6fypRH5zbgHjU6NEvwFogzkt+/AocA3Y4tr956z054/XDQIIX/z7BwAeO/5ltwKUN3UcvFdBoNIYR8CGSRqPxHlpgNBqNYWiB0Wg0hqEFRqPRGIYWGI1GYxhaYDQajWFogdG4HSHEdCHEWWu1OtZhnespn1yee69jCr5z/0tPpWNojeh5MBq3I4T4N/CAlLLJZS7c8GyB+r+uc2GrY8p9qpTSV2oNBTS6BeOHCCG6OpL+LHEkrfrEMe3/cSHEFkcSqYVC0V0Isc3l2p7OfSHEYSHE80KIHUKINCHEYCHEGiHEQSHEnS7XzHXcd5cQ4ikXH/YJIf7hSD70tRAiTAhxLZAKLHHcN6ye3+HfQohUh10khHhOCLFTCPGDECLJcTzJkfBpp2Orc72Uw5efhRCLUbNMOwkhFjh+p59cfL4HtbhzvRBivct7kOCw/9fx3u0RQtzboj+SRuHJ6eF6c9s07q6olcbDHfvvAA/gMrUeNf3/Koe9HhjosP8E3O2wDwOzHPZfUMsXooC2QKbj+FhUNnmB+kJahcpp0xW10th534+Bmx32v1GthLP9DlXnOH4Xp68vAo867I+Aex12EBBzlvfDDgxzORbnct2/gf4uv3OCy3mHUQv2hgC7gQggEvgJGOTtv7W/b7oF478ck1J+57A/AEYAoxy5OnYDlwLnOV5/C7hVCBEE3AAsdbnPF46fu4HNUspCKWU2UO7omxjr2Laj1p/0AXo6rjkkpdzhsLeiPujNoQIlXGfe51JgAYCU0ialzD/LPY5IKX9w2b/e0VLbjnofGurvGQF8JqUsllIWoVaYj2zSb6GphV+UjtXUyZmdZxJ4E9UqOCaEeBJw5tn9FHgC+BbYKqXMdbmu3PHT7mI7982olsvzUsq/uz5MCNH1jPNtQJ3hUCOolI7mhOM+zfm/LHbxrRuqRTdUSnlaCLGI6vdC40F0C8Z/6SyqE4bfCGx02DlCiEjgWueJUsoyYA2qNfBuE5+zBpjhuCdCiA5CiMQGrilEhVotZR0qTaMzaXtMI6+LRglOvqM/5/JG+LYBmOToy4oAfu84pmkBWmD8l5+Bu4QQ+4A2KPH4B6qTcw2w5Yzzl6BaJU1KjSlVKs2lwPeO0OsTGhaPRcDfztbJ20jmoMK+3ajQqVHD2lKll9yOSkexFPjO5eWFwFfOTl6Xa7Y5/P4R2Ay8JaXc3gLfNehhar/EEZ6skqoiQGOveQDVSfqYYY5pNGeg+2BaAUKIz1DpFy/1ti+a1oVuwWgMxSFu3c44/Ecp5Zpm3MuZ8e5MLjuj41rjI2iB0Wg0hqE7eTUajWFogdFoNIahBUaj0RiGFhiNRmMY/x8r1ossevSFmgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "nbrs = knn.kneighbors(newloan)\n",
    "maxDistance = np.max(nbrs[0][0])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "sns.scatterplot(x='payment_inc_ratio', y='dti', style='outcome', \n",
    "                hue='outcome', data=loan200, alpha=0.3, ax=ax)\n",
    "sns.scatterplot(x='payment_inc_ratio', y='dti', style='outcome', \n",
    "                hue='outcome', \n",
    "                data=pd.concat([loan200.loc[0:0, :], loan200.loc[nbrs[1][0] + 1,:]]), \n",
    "                ax=ax, legend=False)\n",
    "ellipse = Ellipse(xy=newloan.values[0], \n",
    "                  width=2 * maxDistance, height=2 * maxDistance,\n",
    "                  edgecolor='black', fc='None', lw=1)\n",
    "ax.add_patch(ellipse)\n",
    "ax.set_xlim(3, 16)\n",
    "ax.set_ylim(15, 30)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Standardization (Normalization, Z-Scores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   payment_inc_ratio  dti  revol_bal  revol_util\n",
      "0             2.3932  1.0       1687         9.4\n",
      "       payment_inc_ratio   dti  revol_bal  revol_util\n",
      "35536            1.47212  1.46       1686        10.0\n",
      "33651            3.38178  6.37       1688         8.4\n",
      "25863            2.36303  1.39       1691         3.5\n",
      "42953            1.28160  7.14       1684         3.9\n",
      "43599            4.12244  8.98       1684         7.2\n"
     ]
    }
   ],
   "source": [
    "loan_data = pd.read_csv(LOAN_DATA_CSV)\n",
    "loan_data = loan_data.drop(columns=['Unnamed: 0', 'status'])\n",
    "loan_data['outcome'] = pd.Categorical(loan_data['outcome'], \n",
    "                                      categories=['paid off', 'default'], \n",
    "                                      ordered=True)\n",
    "\n",
    "\n",
    "predictors = ['payment_inc_ratio', 'dti', 'revol_bal', 'revol_util']\n",
    "outcome = 'outcome'\n",
    "\n",
    "newloan = loan_data.loc[0:0, predictors]\n",
    "print(newloan)\n",
    "X = loan_data.loc[1:, predictors]\n",
    "y = loan_data.loc[1:, outcome]\n",
    "\n",
    "knn = KNeighborsClassifier(n_neighbors=5)\n",
    "knn.fit(X, y)\n",
    "\n",
    "nbrs = knn.kneighbors(newloan)\n",
    "print(X.iloc[nbrs[1][0], :])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "       payment_inc_ratio   dti  revol_bal  revol_util\n",
      "2080             2.61091  1.03       1218         9.7\n",
      "1438             2.34343  0.51        278         9.9\n",
      "30215            2.71200  1.34       1075         8.5\n",
      "28542            2.39760  0.74       2917         7.4\n",
      "44737            2.34309  1.37        488         7.2\n"
     ]
    }
   ],
   "source": [
    "newloan = loan_data.loc[0:0, predictors]\n",
    "X = loan_data.loc[1:, predictors]\n",
    "y = loan_data.loc[1:, outcome]\n",
    "\n",
    "scaler = preprocessing.StandardScaler()\n",
    "scaler.fit(X * 1.0)\n",
    "\n",
    "X_std = scaler.transform(X * 1.0)\n",
    "newloan_std = scaler.transform(newloan * 1.0)\n",
    "\n",
    "knn = KNeighborsClassifier(n_neighbors=5)\n",
    "knn.fit(X_std, y)\n",
    "\n",
    "nbrs = knn.kneighbors(newloan_std)\n",
    "print(X.iloc[nbrs[1][0], :])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## KNN as a Feature Engine"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count    45342.000000\n",
      "mean         0.501104\n",
      "std          0.128734\n",
      "min          0.000000\n",
      "25%          0.400000\n",
      "50%          0.500000\n",
      "75%          0.600000\n",
      "max          0.950000\n",
      "Name: borrower_score, dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "loan_data = pd.read_csv(LOAN_DATA_CSV)\n",
    "loan_data = loan_data.drop(columns=['Unnamed: 0', 'status'])\n",
    "loan_data['outcome'] = pd.Categorical(loan_data['outcome'], \n",
    "                                      categories=['paid off', 'default'], \n",
    "                                      ordered=True)\n",
    "\n",
    "predictors = ['dti', 'revol_bal', 'revol_util', 'open_acc', \n",
    "              'delinq_2yrs_zero', 'pub_rec_zero']\n",
    "outcome = 'outcome'\n",
    "\n",
    "X = loan_data[predictors]\n",
    "y = loan_data[outcome]\n",
    "\n",
    "knn = KNeighborsClassifier(n_neighbors=20)\n",
    "knn.fit(X, y)\n",
    "plt.scatter(range(len(X)), [bs + random.gauss(0, 0.015) for bs in knn.predict_proba(X)[:,0]], \n",
    "            alpha=0.1, marker='.')\n",
    "knn.predict_proba(X)[:, 0]\n",
    "\n",
    "loan_data['borrower_score'] = knn.predict_proba(X)[:, 0]\n",
    "print(loan_data['borrower_score'].describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tree Models\n",
    "## A Simple Example\n",
    "The package _scikit-learn_ has the class `DecisionTreeClassifier` to build a decision tree model. The function `plotDecisionTree` from the _dmba_ package can be used to visualize the tree. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "loan3000 = pd.read_csv(LOAN3000_CSV)\n",
    "\n",
    "predictors = ['borrower_score', 'payment_inc_ratio']\n",
    "outcome = 'outcome'\n",
    "\n",
    "X = loan3000[predictors]\n",
    "y = loan3000[outcome]\n",
    "\n",
    "loan_tree = DecisionTreeClassifier(random_state=1, criterion='entropy',\n",
    "                                   min_impurity_decrease=0.003)\n",
    "loan_tree.fit(X, y)\n",
    "plotDecisionTree(loan_tree, feature_names=predictors, class_names=loan_tree.classes_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "node=0 test node: go to node 1 if 0 <= 0.5750000178813934 else to node 6\n",
      "  node=1 test node: go to node 2 if 0 <= 0.32500000298023224 else to node 3\n",
      "    node=2 leaf node: [[0.785, 0.215]]\n",
      "    node=3 test node: go to node 4 if 1 <= 10.42264986038208 else to node 5\n",
      "      node=4 leaf node: [[0.488, 0.512]]\n",
      "      node=5 leaf node: [[0.613, 0.387]]\n",
      "  node=6 test node: go to node 7 if 1 <= 9.19082498550415 else to node 10\n",
      "    node=7 test node: go to node 8 if 0 <= 0.7249999940395355 else to node 9\n",
      "      node=8 leaf node: [[0.247, 0.753]]\n",
      "      node=9 leaf node: [[0.073, 0.927]]\n",
      "    node=10 leaf node: [[0.457, 0.543]]\n"
     ]
    }
   ],
   "source": [
    "print(textDecisionTree(loan_tree))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Recursive Partitioning Algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "loan3000.loc[loan3000.outcome=='paid off'].plot(\n",
    "    x='borrower_score', y='payment_inc_ratio', style='.', \n",
    "    markerfacecolor='none', markeredgecolor='C1', ax=ax)\n",
    "loan3000.loc[loan3000.outcome=='default'].plot(\n",
    "    x='borrower_score', y='payment_inc_ratio', style='o', \n",
    "    markerfacecolor='none', markeredgecolor='C0', ax=ax)\n",
    "ax.legend(['paid off', 'default']);\n",
    "ax.set_xlim(0, 1)\n",
    "ax.set_ylim(0, 25)\n",
    "ax.set_xlabel('borrower_score')\n",
    "ax.set_ylabel('payment_inc_ratio')\n",
    "\n",
    "x0 = 0.575\n",
    "x1a = 0.325; y1b = 9.191\n",
    "y2a = 10.423; x2b = 0.725\n",
    "ax.plot((x0, x0), (0, 25), color='grey')\n",
    "ax.plot((x1a, x1a), (0, 25), color='grey')\n",
    "ax.plot((x0, 1), (y1b, y1b), color='grey')\n",
    "ax.plot((x1a, x0), (y2a, y2a), color='grey')\n",
    "ax.plot((x2b, x2b), (0, y1b), color='grey')\n",
    "\n",
    "labels = [('default', (x1a / 2, 25 / 2)),\n",
    "          ('default', ((x0 + x1a) / 2, (25 + y2a) / 2)),\n",
    "          ('paid off', ((x0 + x1a) / 2, y2a / 2)),\n",
    "          ('paid off', ((1 + x0) / 2, (y1b + 25) / 2)),\n",
    "          ('paid off', ((1 + x2b) / 2, (y1b + 0) / 2)),\n",
    "          ('paid off', ((x0 + x2b) / 2, (y1b + 0) / 2)),\n",
    "         ]\n",
    "for label, (x, y) in labels:\n",
    "    ax.text(x, y, label, bbox={'facecolor':'white'},\n",
    "            verticalalignment='center', horizontalalignment='center')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Measuring Homogeneity or Impurity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "def entropyFunction(x):\n",
    "    if x == 0: return 0\n",
    "    return -x * math.log(x, 2) - (1 - x) * math.log(1 - x, 2)\n",
    "\n",
    "def giniFunction(x):\n",
    "    return x * (1 - x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 0.5, 50)\n",
    "impure = pd.DataFrame({\n",
    "    'x': x,\n",
    "    'Accuracy': 2 * x,\n",
    "    'Gini': [giniFunction(xi) / giniFunction(.5) for xi in x],\n",
    "    'Entropy': [entropyFunction(xi) for xi in x],\n",
    "})\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "\n",
    "impure.plot(x='x', y='Accuracy', ax=ax, linestyle='solid')\n",
    "impure.plot(x='x', y='Entropy', ax=ax, linestyle='--')\n",
    "impure.plot(x='x', y='Gini', ax=ax, linestyle=':')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bagging and the Random Forest\n",
    "## Random Forest"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0.18131868 0.81868132]\n",
      " [0.26704545 0.73295455]\n",
      " [0.93333333 0.06666667]\n",
      " ...\n",
      " [1.         0.        ]\n",
      " [0.73157895 0.26842105]\n",
      " [0.68085106 0.31914894]]\n"
     ]
    }
   ],
   "source": [
    "predictors = ['borrower_score', 'payment_inc_ratio']\n",
    "outcome = 'outcome'\n",
    "\n",
    "X = loan3000[predictors]\n",
    "y = loan3000[outcome]\n",
    "\n",
    "rf = RandomForestClassifier(n_estimators=500, random_state=1, \n",
    "                            oob_score=True)\n",
    "rf.fit(X, y)\n",
    "print(rf.oob_decision_function_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "n_estimator = list(range(20, 510, 5))\n",
    "oobScores = []\n",
    "for n in n_estimator:\n",
    "    rf = RandomForestClassifier(n_estimators=n, \n",
    "                                criterion='entropy', max_depth=5,\n",
    "                                random_state=1, oob_score=True)\n",
    "    rf.fit(X, y)\n",
    "    oobScores.append(rf.oob_score_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='n'>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pd.DataFrame({\n",
    "    'n': n_estimator, \n",
    "    'oobScore': oobScores\n",
    "}).plot(x='n', y='oobScore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "predictions = X.copy()\n",
    "predictions['prediction'] = rf.predict(X)\n",
    "predictions.head()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(4, 4))\n",
    "\n",
    "predictions.loc[predictions.prediction=='paid off'].plot(\n",
    "    x='borrower_score', y='payment_inc_ratio', style='.',\n",
    "    markerfacecolor='none', markeredgecolor='C1', ax=ax)\n",
    "predictions.loc[predictions.prediction=='default'].plot(\n",
    "    x='borrower_score', y='payment_inc_ratio', style='o',\n",
    "    markerfacecolor='none', markeredgecolor='C0', ax=ax)\n",
    "ax.legend(['paid off', 'default']);\n",
    "ax.set_xlim(0, 1)\n",
    "ax.set_ylim(0, 25)\n",
    "ax.set_xlabel('borrower_score')\n",
    "ax.set_ylabel('payment_inc_ratio')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Variable importance\n",
    "This is different to R. The accuracy decrease is not available out of the box."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "RandomForestClassifier(criterion='entropy', n_estimators=500, random_state=1)\n"
     ]
    }
   ],
   "source": [
    "predictors = ['loan_amnt', 'term', 'annual_inc', 'dti', \n",
    "              'payment_inc_ratio', 'revol_bal', 'revol_util', \n",
    "              'purpose', 'delinq_2yrs_zero', 'pub_rec_zero', \n",
    "              'open_acc', 'grade', 'emp_length', 'purpose_', \n",
    "              'home_', 'emp_len_', 'borrower_score']\n",
    "outcome = 'outcome'\n",
    "\n",
    "X = pd.get_dummies(loan_data[predictors], drop_first=True)\n",
    "y = loan_data[outcome]\n",
    "\n",
    "rf_all = RandomForestClassifier(n_estimators=500, random_state=1)\n",
    "rf_all.fit(X, y)\n",
    "\n",
    "rf_all_entropy = RandomForestClassifier(n_estimators=500, random_state=1,\n",
    "                                        criterion='entropy')\n",
    "print(rf_all_entropy.fit(X, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Features sorted by their score:\n",
      "[(0.0785, 'borrower_score'), (0.0345, 'grade'), (0.0258, 'term_60 months'), (0.0114, 'payment_inc_ratio'), (0.0114, 'annual_inc'), (0.005, 'dti'), (0.0022, 'home__RENT'), (0.0022, 'emp_length'), (0.002, 'purpose_small_business'), (0.0018, 'revol_bal'), (0.0018, 'purpose__small_business'), (0.0018, 'open_acc'), (0.0017, 'purpose_credit_card'), (0.0008, 'revol_util'), (0.0008, 'delinq_2yrs_zero'), (0.0006, 'purpose_other'), (0.0002, 'purpose_moving'), (0.0001, 'purpose_wedding'), (0.0001, 'purpose_vacation'), (0.0001, 'purpose_major_purchase'), (0.0, 'purpose_home_improvement'), (0.0, 'purpose__medical'), (0.0, 'purpose__home_improvement'), (0.0, 'pub_rec_zero'), (-0.0001, 'purpose__other'), (-0.0002, 'purpose_medical'), (-0.0002, 'purpose_house'), (-0.0003, 'purpose__debt_consolidation'), (-0.0003, 'emp_len__ > 1 Year'), (-0.0004, 'purpose_debt_consolidation'), (-0.0004, 'home__OWN'), (-0.0006, 'purpose__major_purchase'), (-0.0008, 'loan_amnt')]\n"
     ]
    }
   ],
   "source": [
    "rf = RandomForestClassifier(n_estimators=500)\n",
    "scores = defaultdict(list)\n",
    " \n",
    "# crossvalidate the scores on a number of different random splits of the data\n",
    "for _ in range(3):\n",
    "    train_X, valid_X, train_y, valid_y = train_test_split(X, y, \n",
    "                                                          test_size=0.3)\n",
    "    rf.fit(train_X, train_y)\n",
    "    acc = metrics.accuracy_score(valid_y, rf.predict(valid_X))\n",
    "    for column in X.columns:\n",
    "        X_t = valid_X.copy()\n",
    "        X_t[column] = np.random.permutation(X_t[column].values)\n",
    "        shuff_acc = metrics.accuracy_score(valid_y, rf.predict(X_t))\n",
    "        scores[column].append((acc-shuff_acc)/acc)\n",
    "print('Features sorted by their score:')\n",
    "print(sorted([(round(np.mean(score), 4), feat) for\n",
    "              feat, score in scores.items()], reverse=True))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "importances = rf_all.feature_importances_\n",
    "\n",
    "df = pd.DataFrame({\n",
    "    'feature': X.columns, \n",
    "    'Accuracy decrease': [np.mean(scores[column]) for column in \n",
    "                         X.columns],\n",
    "    'Gini decrease': rf_all.feature_importances_, \n",
    "    'Entropy decrease': rf_all_entropy.feature_importances_,\n",
    "})\n",
    "df = df.sort_values('Accuracy decrease')\n",
    "\n",
    "fig, axes = plt.subplots(ncols=2, figsize=(8, 5))\n",
    "ax = df.plot(kind='barh', x='feature', y='Accuracy decrease', \n",
    "             legend=False, ax=axes[0])\n",
    "ax.set_ylabel('')\n",
    "\n",
    "ax = df.plot(kind='barh', x='feature', y='Gini decrease', \n",
    "             legend=False, ax=axes[1])\n",
    "ax.set_ylabel('')\n",
    "ax.get_yaxis().set_visible(False)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Boosting\n",
    "## XGBoost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "XGBClassifier(base_score=0.5, booster='gbtree', colsample_bylevel=1,\n",
      "              colsample_bynode=1, colsample_bytree=1, gamma=0, gpu_id=-1,\n",
      "              importance_type='gain', interaction_constraints='',\n",
      "              learning_rate=0.300000012, max_delta_step=0, max_depth=6,\n",
      "              min_child_weight=1, missing=nan, monotone_constraints='()',\n",
      "              n_estimators=100, n_jobs=0, num_parallel_tree=1, random_state=0,\n",
      "              reg_alpha=0, reg_lambda=1, scale_pos_weight=1, subsample=0.63,\n",
      "              tree_method='exact', validate_parameters=1, verbosity=None)\n"
     ]
    }
   ],
   "source": [
    "predictors = ['borrower_score', 'payment_inc_ratio']\n",
    "outcome = 'outcome'\n",
    "\n",
    "X = loan3000[predictors]\n",
    "y = loan3000[outcome]\n",
    "\n",
    "xgb = XGBClassifier(objective='binary:logistic', subsample=.63)\n",
    "print(xgb.fit(X, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   borrower_score  payment_inc_ratio prediction  prob_default\n",
      "0            0.40            5.11135   paid off      0.171144\n",
      "1            0.40            5.43165    default      0.739844\n",
      "2            0.70            9.23003    default      0.679195\n",
      "3            0.40            2.33482   paid off      0.321995\n",
      "4            0.45           12.10320    default      0.859796\n"
     ]
    }
   ],
   "source": [
    "xgb_df = X.copy()\n",
    "xgb_df['prediction'] = xgb.predict(X)\n",
    "xgb_df['prob_default'] = xgb.predict_proba(X)[:, 0]\n",
    "print(xgb_df.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAEYCAYAAAAJeGK1AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy86wFpkAAAACXBIWXMAAAsTAAALEwEAmpwYAACOdklEQVR4nOyde3wU1fn/32f2ks2FhGuCBCRCuCMEJUCjiEhFUWvaekPRYutXq9LWXhCk+sNISxGltbZfaqttv1IN0nqpoQpKi4goAoEakFsgxCAEQkiA3Dd7mfP7YzZLFgUzZyckhHm/XuHkDNknZyc788w553k+j5BSYmNjY2Nj097Q2noANjY2NjY2X4btoGxsbGxs2iW2g7KxsbGxaZfYDsrGxsbGpl1iOygbGxsbm3aJ7aBsbGxsbNolreqghBB9hBBrhBA7hRA7hBAPhY7nCCFKhRAFoa/rWnMcNjY2NjbnHqI186CEEBcAF0gp/yuE6ARsAb4J3ArUSikXtdovt7GxsbE5p3G2pnEp5WHgcOj7GiHELiC1NX+njY2NjU3HoFVnUBG/SIg04ANgOPBT4G6gGtgM/ExKefxLXnMfcB9AfHz8pYMHDz4rY7WxsbGxsY4tW7ZUSCl7mH3dWXFQQogEYC0wX0r5hhAiBagAJPALjGXA753JxujRo+XmzZtbfaw2NjY2NtYihNgipRxt9nWtHsUnhHABrwO5Uso3AKSUR6SUQSmlDrwAjGntcdjY2NjYnFu0dhSfAP4C7JJS/qbZ8Qua/di3gO2tOQ4bGxsbm3OPVg2SAC4D7gI+FUIUhI79HLhdCJGBscRXAny/lcdhY2NjY3OO0dpRfB8C4kv+a0Vr/l4bGxsbq/H7/Rw8eBCv19vWQ2m3eDweevfujcvlssRea8+gbGxsbDoEBw8epFOnTqSlpWHsXtg0R0pJZWUlBw8e5KKLLrLEpi11ZGNjY9MCvF4v3bp1s53TaRBC0K1bN0tnmLaDsrGxsWkhtnM6M1afH9tB2djY2Ni0S2wHZWNjY9NBmTt3Lv/5z3++cPz999/nhhtuMGXr9ttvZ8SIETzzzDPs3r2bjIwMRo0axb59+6wa7hewgyRsbGxsOijz5s2zxE5ZWRn5+fkUFRUB8OSTT3LzzTfz2GOPWWL/dNgzKBsbG5vW4sAmWPdro42SkpISBg8ezLRp0xgyZAg333wz9fX1gOGIMjMzGT58OPfddx9NEnZ33303r732GgDvvPMOgwcP5pJLLuGNN9740t/h9Xr57ne/y8UXX8yoUaNYs2YNAJMnT6a0tJSMjAyeeOIJfvvb3/Lcc88xceLEqN/XmbAdlI2NjU1rcGATvHI71B8zWgucVGFhIQ8++CC7du0iMTGRP/zhDwD84Ac/ID8/n+3bt9PQ0MBbb70V8Tqv18u9997Lv/71L7Zs2UJZWdmX2l+8eDFCCD799FNeeeUVpk+fjtfrZfny5fTv35+CggIef/xx7r//fn7yk5+EHVhrYTsoG5s2JK+glMnPrKXfnLeZ/Mxa8gpK23pINlZRsg5GToVr5httybqoTfbp04fLLrsMgDvvvJMPP/wQgDVr1jB27Fguvvhi3nvvPXbs2BHxut27d3PRRRcxYMAAhBDceeedX2r/ww8/DP/f4MGD6du3L3v27Il63KrYe1A2Nm1EXkEpi1YVsvCmEWSmdSW/5BizX98GQHaGXTbtnCdtvDFzAti6DG5/JWqTp4ZxCyHwer08+OCDbN68mT59+pCTk9Nh1C7sGZSNTRuxeE0RC28aQVb/7rgcGln9u7PwphEsXlPU1kOzsYI+YwynFNfVaPtEX7Th888/5+OPPwZg6dKlXH755WFn1L17d2pra8N7Ts0ZPHgwJSUl4Yi7V175cmc5fvx4cnNzAdizZw+ff/45gwYNinrcqtgOysamjSgqryUzrWvEscy0rhSV17bRiGwsp88YGP8zS5wTwKBBg1i8eDFDhgzh+PHjPPDAA3Tu3Jl7772X4cOHc80115CZmfmF13k8Hp5//nmuv/56LrnkEpKTk7/U/oMPPoiu61x88cXcdtttvPjii8TExFgydhXOWkXdaLELFtp0NCY/s5acG4eR1b97+Nj6fRXkLN/Bqp9MaMOR2XwZu3btYsiQIW32+0tKSrjhhhvYvr19Vyf6svPUbgsW2pyf2Jv/X82MienMfn0b6/dV4A/qrN9XwezXtzFjYnpbD83Gpl1gB0nYWI69+d8yms5FzvIdFJXXkp6cwMzJg+xzZPOlpKWltfvZk9XYDsrGcppv/gPhzf+c5Tvsm+8pZGek2ufExuY02Et8NpZjb/7b2NhYgT2DsrGc9OQE8kuORWz+55ccIz05oQ1HZSw9Ll5TFF5OmzExvcPMXjrye7M5f7EdlI3lNG3+n7oHNXNy2+VTdOR9sbyCUub9ayexbg0pod4XYN6/dgLn/nuzOb+xl/hsLCc7I5WZkweRs3wHgx5bSc7yHW2++d+Rk2IXrNyNpsFTN49kz/wpPHXzSDTNOG7TccnJyWHRokWn/f+jR48yduxYRo0axbp15mWWXnzxRX7wgx8A8Oabb7Jz507lsapiz6BsWoX2tvnfkffFyqq8PHBlv4howJsv7c1z7xe39dDOa9p62XX16tVcfPHF/PnPf47a1ptvvskNN9zA0KFDLRhZy7FnUDbnBU37Ys1pD/tiVvHallJybhxG4S+nkHPjMF7bYuedtSVNS8rN/yaLVhVGnQ84f/58Bg4cyOWXX05hYSEA+/bt49prr+XSSy9l/Pjx7N69m4KCAmbNmkVeXh4ZGRk0NDTwwAMPMHr0aIYNG8bjjz8etpmWlkZFRQUAmzdv5sorr4z4nevXr2f58uU8/PDDZGRktGqBwlOxHZTNeUFHTop1agJfQI845gvoODVxmlfYtDatsaS8ZcsWli1bRkFBAStWrCA/Px+A++67j9///vds2bKFRYsW8eCDD5KRkcG8efO47bbbKCgoIDY2lvnz57N582a2bdvG2rVr2bZtW4t+b1ZWFjfeeCNPP/00BQUF9O/fX/k9mMVe4rM5L+jISbFBKdGEZNZr2zh0ooFenWPRhCR4jsiYdURaY0l53bp1fOtb3yIuLg6AG2+8Ea/Xy/r167nlllvCP9fY2Pilr//HP/7B888/TyAQ4PDhw+zcuZMRI0Yoj+dsYDsom/OG9rYvZhUDkhOYPDSFVTuPABDndvDNjF7hvs3Z52ylWui6TufOnSkoKDjjz3322WcsWrSI/Px8unTpwt133x1WQXc6nei6MQNvb2U67CU+G5tznBkT08nbeihivyNv66EOsXx5rtIaS8pXXHEFb775Jg0NDdTU1PCvf/2LuLg4LrroIl599VUApJRs3br1C6+trq4mPj6epKQkjhw5wsqVK8P/l5aWxpYtWwB4/fXXv/R3d+rUiZqaGuWxq2LPoGxsznE68vLluUpr/E0uueQSbrvtNkaOHElycnK4rEZubi4PPPAAv/zlL/H7/UydOpWRI0dGvHbkyJGMGjWKwYMHR1TlBXj88ce55557+H//7/99IUCiialTp3Lvvffyu9/9jtdee+2s7UPZ5TZsbDoAbR3SfD7Q1uU2zhWsLLdhz6BsbM5xOrJKhs35jb0HZWOjwoFNsO7XRtvGdGSVDJvzG9tB2diY5cAmeOV2qD9mtG3spDqySkZ741zZEmkrrD4/9hKfTavQofdEStbByKlwzfyT/T5j2mw47VU9vqPh8XiorKykW7duCGEnQZ+KlJLKyko8Ho9lNm0HZWM5HX5PJG28MXMC2LoMbn+lTYfTHtXjOyK9e/fm4MGDHD16tK2H0m7xeDz07t3bMnt2FJ+N5Ux+Zi05Nw6LeKJfv6+CnOU7WPWTCW04Mgs5sMmYOaWNb9PZUxMdesZqc85jR/HZtBva656IpTfxPmMscUxWjak9qmTYTtMmWmwHZWM57XFPpD0uO7bHMVlFR35vNmcPO4rPxnLao3L44jVFZI/sFVFEMXtkrzYNxe7I4eHt8XzbnHu06gxKCNEH+BuQAkjgeSnls0KIrsDfgTSgBLhVSnm8Ncdic/Zoj9I7e8trqfcFeOrmkeEn+lmvbaX0RNuJY1q5FGrlcpoVttrj+bY592jtJb4A8DMp5X+FEJ2ALUKIfwN3A6ullE8KIR4BHgFmt/JYbM4i7W1PxKVpTM9KCy87ZvXvzvSsNJ5+Z0+bjcmqpVArl9OsstUez7fNuUerLvFJKQ9LKf8b+r4G2AWkAtnAktCPLQG+2ZrjsLHxB3WWrN8fsey4ZP1+/EH9q1/cSli1FGrlUqFVS3Pt8XzbnHuctSAJIUQaMArYCKRIKQ+H/qsMYwnwy15zH3AfwIUXXngWRmnTURmQYtRMar7s2NY1k6xaCrVyqdCqpbn2eL5tzj3OioMSQiQArwM/llJWN8/CllJKIcSXJmNJKZ8HngcjD+psjNWm/TE3bzvLNh3AF9RxOzSmjunDvOzhpmzMmJj+pUtXHSGZ1cqoyfDSnLsY1i8hK2280tJcRz7fNmePVndQQggXhnPKlVK+ETp8RAhxgZTysBDiAqC8tcdhc24yN287uRs/55Epg5g2ti+5G/fz5MpCAFNOqj0Gbli132OlkoQ/qLPkgz0Me/83ZPZykv/+OyzRfmp6aa49nm+bc4/WjuITwF+AXVLK3zT7r+XAdODJUJvXmuOwOftYFVW2bNMBHpkyiHvHGwXSmtqn39ljehbV3mi+dwSE945ylu8wda6yM1LZsv84d/81P2KWqXK+B6QkMNm1jZxDt1C0txfp2iG+2auIVXEjTNtqb4EyNucerT2Dugy4C/hUCFEQOvZzDMf0DyHEPcB+4NZWHofNWcTKqDJfUGfa2L4Rx6aN7cv8t3e32Ziswqq9o7yCUtYUlvPi9zIj3lteQanp9zZjYjqL/lnOQvf/kjl2PPkb1zH76A+Y+S27fLzN2adVHZSU8kPgdLK/k1rzd9u0HVbNDADcDo2fv/EpOw9Xh2djQy9IxO0wF4Bq5ZisIj05gWf/s4dVO4+E39vkoSmm946sfG/ZGalQmULO6jspWtuTdK0vMyel2DMhmzbBljqysRwro8rG9uvKmwWHmDa2D6/e/zWeemc3uRsPMH5A969+cSuNySrG9evGc2uLv7C/Nm2suYhVq99b9qQryB7oaVdiuDbnJ7aDsvkiUSp1WxlVdqTay+ShKby6uZTcjQdwOzQmD02hpLLO9JismK1YyYbiSoZe0Ilfvb2b+W/vRgDDUxPZUFxpyk6raB9aJIZrYxMNtoOyiaSpWuzIqUZ7+yumb1RWRpUVldfy9o/G42q2pOcP6gx6bKUpO1bNVqxk75FahICfXz84PKYFK3ZjtgKOXQ+q5dgK6+cWtoOyicSCarFWhhhbNTvYUFzJAxP68ermgyxYsZv05AQemNBPKXHUyptcenICT7+zh/lv78bt0EhPTmDvEXNLc1aHdFuRd9YeaY+BMjZnxnZQNpFYVC3WqhBjq2YHReW13D+hP3DSIfXrkUBR+T5Tdqy8yUlgz5Fapo3tw6xrB4f311Sw6nxblXfWHmmPgTI2Z8Z2UDaR9BljOKWSdUrLe1Zj1ewguVMMC1bu5tmpGWHH8tCyApI7xZiyY/VNblivTuSXHGfUvH+TnpzAsF6d2HGoxrQdq+jIeWftMVDG5szY9aBsvkifMTD+Z23unCxFCIw5S3Nk6HjLCd/kDmyCdb+GA5uiusntLqvlltG92f7ENdwyuje7y9r2Znm6vDNfBxB5bVoubk5bF9K0OTP2DMrmi0QZxWclVi2plVd7WXTLSHJe30zRsQDpXZ3MmTKcma9uNTWe9OQE8jetJ2vd9HAgSf74JUo3ObdDY0TvxIg9qFF9kth2sNq0Lav2xdwOjdyN+7k3rTL8Gcgt6WY678zKMVmFHUxy7mE7KJtILIjisxKrltTSkxPo2VjCKmbAxKmwdRnrG807lhkT05mdt4mFfW4m09OV/O43M3vVUWZmmz9HU8f0MfZ7htcwzf8Pcl238uR2aTqyMK+glEf/uR2vP4guofhoHY/+cztgfl9s6pg+PLliN3jeYNroXuT+9U886f0208b1/eoXnzKm9haQYOsDnnvYDsomEgui+KykqLyWsiovk59ZG76p3D+hv+klNascS3ZGKhR7ycm/iKI9qaSLeGZmepVucvOyh/PZvj38als88/kuArg82Wt6r+fxvB3U+wLMuS4yXP3xPPP7YvOyh8OhT3j682zmr9NwC51pFx5jXvb1puy014AEWx/w3MJ2UDaRWBTFZxVWBTdkZ6SyJT/A3Xu+hm+PEzf9mdrfr3Szyu5xiOxLd0JKHRzZCT2GmrYBxiyj5HgjuT3/SeYPl5D/++nMrrzOtIbeiQb/FwIbgroMR9+ZZV5mkHlHvgMXjITDWyHzt6ZtROzVhZYKM9NG2wEJNqawgyRsImmK4ovr2ubLe4BlwQ15BaWsOeTkxYEfs3dKIS8O/Jg1h5zkFZSaH1PaeCh+H+qPGW3aePM2CM0yvqaTdeJfuP48kawT/2Lh13SlSriDUjqdsW+Khkrod6XxGeh3pdE3SdNeHa/cbpynV24nf9N6OyDBxhS2g7L5Iu0oiq+82sucKUMiSpDPmTKE8mpzFV4Xryli4eQeZFW8hst7jKyK11g4uYeSM7DKiReV17KicQQDfS+T9tnDDPS9zIrGEaZnGQ4h+Mnft0aUV//J37fiMOnEw8R2i3TAsd1Mm5gxMZ3Zq46y/sL78H/9F6y/8D5mrzpqupy9zfmNvcRn065JT06gZ5KHVT+ZED62fl+F6SfxovJaMsdMgd4nc7wye42maLk5yaQwFmjVJXpcLN30OXOuGxKxd5TocZmyM23chby0YT8PvfIJlXU+usW7qfL6uctkYEOYhkoY/m1IGQbd+ivNoAxV9G7kvNeVooIVpDu6MvOqbkpLqu0tGtDm7GE7KJt2jVWhwWHJJPfJY22dA1PjDZDocTGsVxIuh8awXkkkelzUeAOm7DQFVSzbdABdQlVDgLvG9VVPrE0bDx//ATpdAMVrYez9SmasUEVvj9GANmcPIc0qU7YRo0ePlps3b27rYdi0AVY8QecVlLJoxTYWymfJvGQ0+f/dzGzxEDOvG9FmN7q0R97m6ZtH8MJ7O8K5WfdeNYyHX9tGyZPmouYAa/PXNr8Iu/JgSDaMvjs6W1Ew+Zm15Nw4jCx3cfi9rff1I2f5johZtU37RgixRUo52uzr7BmUTbvHitDg7IxU2P02OXvvoeiDONLjRjJzwAGyM6ZYNErzuB0aJw7tY5X+fRg4GMp388KhJUpJsZbmrx3YBO/9wrD13i8gZWib7UcWldeS6dgHr9wRfm+Zty61owHPE2wHZXPekH1ZBtmf3w5jjERdLmvbEPqpY/rw5PrPwHUF01LSyP0smSfX1zDtaxeZN2Zl/pqVtqyoLfbJf8lqNp78T/5LerJaaL/NuYXtoDoAHX0T2ar3l1eZyuLAbyhao5GeOIYZlalk92mFAbeQednDoWQdTx++ifnrnLi5lGkXHGRe9jfMG7Myf80qW1bVFltRz0KZR6b+GPn/3cJscTkzr7OjAc8HbAd1jtPRN5HD72+8m0zfbvLdY5m9ykhANfP+Tu5BPUfmhNAe1IqHTNuxmnmXxTLvrbuhU0+oKYPLfqtkJ68ylcUspmhNgPSu46NyvpY5citri636MUVrA6R3vZyZky+O7m/WjrQmbc6MKQclhBgJNGUlrpNSmlPatLGc9iopYxWL1xSxcLw7LM6atXE6C8cvIWdNkan3t3hNEQuHlJAVdylc80uytEdZWF9Czpq4tj1PDZUw/CZjn+fITqWQ7pMPKaOjfkix1JG3s9piQLvTmrQ5My3ejRVCPATkAsmhr5eFED9srYHZtIyOXuOmqLyWspKdTG58kn7vZzG58UnKSnaafn9F5bVkjrrEuFG++yhsXUbmqEva/Dzl+TKZ/Mk4+r09iMmfjCPPl2naRvOHFJdDCz+kqCQhL15TRHaPI+To9zDog6+Ro99Ddo8jbZrQbCnNZ3Ujpxp9m3aLmRnUPcBYKWUdgBBiIfAx8PvWGJhNy7CqJHp7JblTDI/uSMUfCKAjKa5z8+iOVNNafOnJCXz7Xz62H/sdco1EkMXwf/nUz5MFy0R5BaUs2hJg4WVxZFb8lfzuNzF7SwC6mdPis1L3bm95LfX1yTyl/Y7MK4wZ1KzyH1Faq+jILUhotpR2pjVpc2bMxLMKINisHwwds2lDmhJZm8vczH59W5tLyszN287AR1eS9sjbDHx0JXPztivZqfYGaAhAfIwLDaNtCBjHzSCE4NPSaq4a3IPNj32dqwb34NPSaoSKHFDTMlFIY44Dm8zboNny5fa5uFKGkLV9LgvHu03PVqzUvXNpGtOvGETWd+bhSuhC1nfmMf2KQbg0tXpQk596h36PvMXkp95R0z20mvY4q7M5LWZmUP8HbBRC/DPU/ybwF8tHZGOK9ljjZm7edl76eD9N97Sg1Hnp4/0AptUN6n1B4twOOsW5qG700ikuBr/0U+8LfvWLm7GnrIbL+nfjwPEGxsxfTXpyApf178b6fQp7Ph8VsLjxSYrejyM9LoMZHxWQPdX8ja6ovJZM327oNyEkzDqBTN9GisoHm7JjZY0qf1Bnyfr9DOs1gsys0eSXHGPJ+m34TVbUjUiMbkdBKUD7m9XZnJYWOygp5W+EEO8Dl4cOfVdK+UmrjMrGFO2txs3LGwxn1CXOTWWtL9y+vGG/kvzODyb258GJA8L9P6zZy1Pv7jFlQwJ/uPMSkioKoGQzpI2nqnsGI5/4tyk7eQWlLCruw0Lt2fAS2Ozih8BkiQwIzXzqepK1/RdQuQ8ObyV/zCTTMx8ra1QNSElg8tCUiMrD38xIY9XOI6bstNugFJtziq90UEKIRClltRCiK1AS+mr6v65SymOtNzybcxFdQqLHye9uHxWOKrv/pS2ml+Wa+NPaYjIu7BK29ae1xaZtCOCp19Yxv/R7kDwYPvodT6X+1fQa9eI1RSy8LZOs41NhVx5Z10xlYZdMpahJY+ZzjIUXfp/M/snku8YxOz+Omdnml2etqlE1Y2K6MfMJ/obMAU7yDwWYveWnzLxuhCk7ReW1ZH7rEvjHIuPA1mWGAsSmCqVxWUVHzxnsaLRkBrUUuAHYQmRhnqZCPf1aYVw25zhDeyVGLDsO7ZXIhmLzzzKdY12caPCfotQdoHOsOcXvywd0J3fHUXB8m1ndiniq5tvk7mhg/IAepuwUlddSVryTye/7KQreQ/ruw9x/pfmoQggVUdyeyN3bmxVRHN5J7YYZFnjtaZTIGPt98zZCY+KTl8jZewtFe3uRrh1i5oCtpiWh0pMTyA/2J+v2k+rx+b5+pCebK5NiJR09Z7Aj8pU7n1LKG0LtRVLKfs2+LpJS2s6pI3JgE6z7tfLmP8CG4mNkpnXhk7lXk5nWRck5ATyRPYyEGCfH6/3oEo7X+0mIcfJE9jBTdl66ZyzjOx1iaXASI/d9n6XBSYzvdIiX7hlryk5ypxgWfHicnP5FFE4pJKd/EQs+PG46qhCMG+ZbnwVJ7hSDFrL91mdBtWACCzf/s3uUsSpuLsUTP2ZV3Fyye5SZthEO3vH1w5/1E9b7+ikH7+QVlDL5mbX0m/M2k59ZqxxsYWU4vs3ZocV7UEKI1VLKSV91zOYcx4JERk0Yy3yvbDpA7sYDaOLkcbM0Pdk2Lcv06xGvvCzz0shd8MmjkHoJlP4XRt5pfkBCGF+frQNfDJQ2guMy0xV+ARas2EUgKMHtRuIFp5tAQ4AFK3YpJdguXtNAUflg0pMbmDHR/J5YmJF3wLZXYWceaA6jbxKrgnesnPV09JzBjkhL9qA8QBzQXQjRhZOh5YmAPS/uaFggTyMlxDgFjQFjRVgP9X2Bti3tMvfEDSyrmxBaTgsw9UQn5pm0UV7tZdGIMnJ2P0BRSWfSY04wZ1AZM7eZvxTKqhvpnuDiqZtHhm++P3rlv5RVN5qy0ypLV8EAeKuNVhErgnesVEqxPGfQlkxqdVqS3PB9jP2nwaG26SsP+N/WG5pNW5Dny2TyB2lG7soHaUrKBilJHtxOjd5dYtEE9O4Si9upkZLkMT+e0M0358ZhFP5yCjk3DmPRqkLTyzxz87bz0g4vSbFuNCAp1s1LO7ym87PSkxN452g3Sho7oSMoaezEO0e7Kd/k/md8v4glp/8Zb37VfPGaIrJH9iJn+Q4GPbbSuHmP7KW+dPXRbyHoha4XGe1Hv1UyY0UelJWzHktzBg9sgtxbYO8qo41iOdzm9HzlDEpK+SzwrBDih1JKWzWiAxNWNrhhCJm+jYYw6zqfaWUDpMTjcvLUzSef6B9aVmBMrUxi1RN07obPSfK4ePbOS8JjevDl/5K74XNToe8piR5W7Y1Bw8gLCqCx6pCT8QPMO18w3t/LGz7n0IkGenWOparBZ9rG3iO11PuCEed71mvbKD3eoDSmvEOdWdz4FEWfpZIuSplxaCvZZm0UlPLo61vx+v3oOCg+1sijrxvSnWb+blbOeizNGdz6CgQaIXU0HNpq9O1ZlOWYyYP6vRBiODAU8DQ7/rfWGJjN2WfxmiI6x7qYlleFZDCCKoanJhpP6CYu4vKaRhbdMjLiRjBnymBmvmpeW9iqJ+iglDxz28gIR/fMbSP57ovmqjR/uNcIk25a5xanHDdDUqyT6oYAdd56dODQ8XokgqRYc0UGXA4Nl0Mw7YWNyNCY0rrH4VIofJhXUMqiumtZ6HySTM9B8r29mV33iOk8r8fzdlDv15nT/wDTpt9P7pI/smBfGo/nmXuwaJr1nLp8OXPyINPvDazMGTz1YevcqEx+rmEmSOJx4EoMB7UCmAJ8CNgOqo2xKrdjzxHjpj9tbB9mXTuYp97ZTe7GA6btpCcnUHw00oEUH61VeupNT05gRu4W3i+swBfUcTs0rhzUXclW4ZEaJg5OieibRQJJbsFzrt+T2cvIE3rA/2OqzE98EKFMjW5UUUki3aimgqTQ8ZbjC+p8VlFPvNtBgz9IrMvBZxX15gdEaMb69a5kvVcCcV3JooSFV3U1rR5/osHPI+PiuXfPM7DmMPceX0Zw3J95coO5cbVHpRTACBz59A0o3QwOt1Igic1XY+ZR7WZgJPCJlPK7QogU4OXWGZZNS7F6g3zS4B7M/5aRlDn/WyMoq/KyevdRUzbG9evGc2uLeWTKIKaN7Uvuxv08ubKQaWMvND2elEQPq3aWk+hx4gvqeFwaq3aWM35A969+cTM6x7p4cmUhT64s/MJxs1w7ojdZadOMRN0p2Vxb0pu/bz5o2s6JBj8PdPuE1VWpVAYEXZyN3Jz0Cc9VXmLalksTdHH6qPcJujiD+AJO/Lr5p/qw/NLo7xqBMu8+qiS/BDBo8FC49GQe1KC6vrDB3IwVQrOebqVhBRD6tIPYrD5j4M7XjPd29S/s5b1WwoyDapBS6kKIgBAiESgH2rAeqQ1EbpA3PWE2bZCrOKjdZbWs31cRdna7y8xvRm8ormTS4B48/c4e5r+9G7dDY9LgHmwoNq979/G+SlwOEdbeq/cFcTkEH5vU0EtJ8nCiwf+lx83y980HSd/2HtOSPiN373v83Wcu2bc563wD2RuIRwJ7A8m4ffFKdjxaEOorge5QX4nH2R2/bn6JLz05gRm7Lub9knp8a97CTSZXpsWRnmwuz8shBN9/aQu6hIA+GKdWgSYqcEQjztveajjZmn6tjhkHtVkI0Rl4ASOKrxaj3MZpEUL8FUOFolxKOTx0LAe4F2h6LP+5lHKFuWHbNLG3vJZ6XyAiVHnWa1spPWE+Y18Aad1iI5xdWrdYDp0wt9m+90gtFbU+khPdlB73kpzoZvP+ExyvM78OFtAlCTEOOse5OXSigZ5JHk7U+6htNCcWW1j25ct5pzt+OpJiXVQ1+Jjvu5X5R28NHZUkxbpN2QFwOQTba+KZlFDCwtS1zC6dwOqaNFwO8zfxxkAQhEBII0+rMRDEXLECAyMIpBYNBwABHKwq8TN+QJIpO+kpCRSW1RDv1gj6JDFOQZ1PZ1DPTqbHZEXqg825SYs+wcKoSbBASnlCSvlH4GpgupTyu1/x0heBa7/k+DNSyozQl+2cosClaUzPSosIVZ6elaZUHuHyAd35aN8xyqq86BLKqrx8tO8Yl5tcTnNoggZfABCh/FWj71DJ1AXqfEEOHm9Al3DweAN1JpXMmxDAo9cPZue8a3j0+sFKtWKyM3ohkDhCUXwOdASS7Ixepm35gxKBYHVtGqMLp7O6Ng2BwB80tzQnAB9ODsmuRrCF7IoPp9L7+6ioAmNfrBot1IIMHW85nx2tY3TfLviDxr6dPwij+3bhs6N15geVNj6i0CRp47/6NTYdghbdxaSUEiMwoqlfIqXc1oLXfQDYYrKtSFN5hOa5HUvW7zddHgHg5kt749RO1lqq9gZwasZxMwR0SYNf53DI0R2u8tLg1wko7ImAEZ2e3iOeD2dNIL1HvEq0OgC9u3h4dfNBhj/+Lq9uPkjvLuaX9zYUVzLjgj30F4fQkPQXh5hxwR6l5UsAeUr016n9ltkw0EOXc1Orcpp0CQ8nbyI/9RmKr99DfuozPJy8CbN/Ol9Q57bMPqR1j0MTRlThbZl98Cl8LukzBq76f1C+02jt2dN5g5klvv8KITKllPkW/N4fCCG+A2wGfialPG6BzfOSASkJpHWL4+6/5kdEucW5HaZtLVixiy7xMTw7NSMif0lFekcAXeKcVNT66RLnpLLWH1UgbtHROi5/am0UFuDA8ZPLnk0Ri6bHUV7L/T2KgYvDx/oFiyk6aj6IIJIm7eW2Zxf9mHzofygqTSVd/A8De5h35E5N8Mu3d/LcnZeGP0sPvLwFp8os+sAmeO8XxjLfe7+AlKG2kzpPMLMONBb4WAixTwixTQjxqRDiK2dRX8JzQH8gAzgM/Pp0PyiEuE8IsVkIsfnoUXORZOcL4/p1Y/Xuozx87UB2zruGh68dyOrdRxnXr5tpW2XVjfzm1pERy4W/uXWkaekdgFiXxu9uv4S986fwu9svIdZlfsmxOXGh18dFaSdakjvFsKByAjnOJRQmPEiOcwkLKicoicU2kc4BPuz0KOmYD+k/iSCJejQkSdSjWuxaAG+VdydTK+ST7o+TqRXyVnl309biYxzUeAPsOFSFP6iz41AVNd4A8THmH5woWRdR1JGSdeZt2JyTmJlBXXOm/xRCdGnJTEhKGa58JoR4AXjrDD/7PPA8wOjRo9vH42U7Y0NxJQ9M6Mermw+yYMVu0pMTeGBCP9MF5pqwYskJoDGgc8cLG8N9hX3/COr9ekQbHU3prAoIAUI7+T0YfZXoNIzw8CK9D5fX/DLcV32LVcRFtCokxjqpbvDzSnAiuRWT0NARoeNmqPEGuGPshRGRnHeMvZClGz83P6jYbrD9jXBRR9KuMG/D5pykxY+jUsr9X/bV7EdWt8SOEOKCZt1vAebE0GwiMBS+I5NW+/VIUNIq65nk4Wf/2Bqxn/Wzf2ylp8lQbCEgKCPVFoJS+R5uGSN6aLgxQs3d+BnRw/xsrLzay5x+ReQE7mZQzWJyAnczp18R5dVqdY6MXKUmj6Qr5S4ZNL1OnNI3R403wLTUcpyhMTnRmZZaTo3JYpPpyQl0jnWRliTQkKQlCTrHutQ0CxsqYfhNMPRGo21Q2++zOfewcr3kC7cfIcQrGKHog4QQB4UQ9wBPNVsenAj8xMIxnHckd4phwcrdEWKqC1buVlpymjNlMLoOs17bysBHVzLrta3ounHcFKF7YyePM6Jt6y2WPZV+XswoZO/863gxo5A9lV/Mi/oq0pMTeOdYKiUyxRCLlSm8cyxVXREbMC5DQXSXY9MeVtOX2tNAenICnRsPkeaoNByLo5LOjYdMv79x/brx3Pv7uKXhVbaP38gtDa/y3Pv7lJaeSRtvFGGsP2a0dhTfeYO5efuZ+cLtR0p5+5f83F8s/J02QoA8dU1InlyGMkF2Ripb9h9n2aYDSKC82sfUMX1MB0hIILWzJ5yLVe0NRPTbApdD4A06mFYwBFmwAsEQJA7TOUdGnlAXEqnDhwMPjayq6KIsFnsSK7y3FrKj7ujG9evGcxtG8oiWy7QuBeRWZ/Bk5TSmjTPnWDYUVzK0UwO/qv4W89cZ7nJ4YoNatGNTMcaQIoUdIHH+0LY7zjZRU17tZc6UIRGlFuZMGaK05JRXUMpb2w6RnBiDJiA5MYa3th1SKpNQesJLjwQ3moAeCe42dU4At48xZJZkOARbizjeUj7eV4kDSTXxgKCaeBxI08oWJznVQUa7Dhrd6zcUV/JAv0pedV7P8ONP86rzeh7oV2nasew9UsuOag8/d+Sys+8z/NyRy45qD3sVoyctxYKK0TZnh1Zd4rNpfdKTE+iZ5GHVTyZQvOB6Vv1kAj2TPEpLTgtW7MKhaTx18wgKfzmFp24egUPTWLBil9LYKut86NJoo+XRrHh2XrObR7PUpIA2FFcy+SIXboy9FDcBJl/kMn3jDeiSINCDKjQkPagiGDquQowGSzv9L3snbGBpp/8lJuorMrqZWFF5Lf3SLoKAFxAQ8NIv7SKlPc3b+xzn3lFxxA2/jntHxXF7H8Vskiapo/pjRhuNY7HSlk2rY0bNfBywQ0pZE+onAkOklE2hWnbp9zbAynIEZdWNvHTPmIiSFL+5dSR3/UXtIm5KqFVNrG3Ok+urmc8gHFQD5kOV9x6ppT7Wx4sDN5DZP5n8feXMOjCO0i/R5/sqBHAUQ/rnKEkI5VhHaNQld9U8SHCthoMxBKOJMAyPQt1GcqKH2Wvq8Ou9AMmeYC9mr6kjOdHcEqYEVh7txtqDV1Aqu5IqulMf003tTFkpdfRlIev2kmG7xcwe1HNAc5nl2ubHpJS2YkQbYHU5giXrS7jnxc3hpN8rBpqTOWqiS5yLE/X+iP7xejVnIJEEQ4EEwdA+i9mSFC6HRs84uHvP10Il3/szopuk3Gd+yiJP+d2n9ltK87AG+GIcntlRfdGqeUvHahvx65JJFzSyMPEVZlffzurDMRyrNZcL59QEDQFJXLNRNASkWqJu2nhjtgOG1NHtr5i30URsN9j+OuxfDzWH7ZD1do4ZByVCkkcAhJTNrQyysFHEqiJssS4H/9lV/oV6ULEu8zOW4/V+4t0a9T6dOLem5JzA0Adct9fQh2t+EzarD+gL6myudJGk+fDrEKvpbK50czLE2wynqj6ouZSkWBcnGnxfkChKUigBEgrmx1i111GZZQL4gpKv9fBxoKycMYe/Q7oo5Ws9Uvj4qDkx3PgYBzUNfqb3LmXasApydzSy4GA3OpnMpwJOSh3tyote6qisABwx0KWvscxXVqBuy6bVMfP4WCyE+JEQwhX6eggobq2B2Zx9/EEdl0Pw9/yDjHzi3/w9/yAuh1DS9QNo8OvIUKvKpwerQt9F1rA9ebzlaAiqdDcSqNLdaFFsm2qhpC4tiuSupvIfIuQkm9ovKwvy1TSP3muK5lPDU11MiewZCqPviafa/GVe4w1wR78Gnj44lKHvDuLpg0O5o1+D6Xwq4KTUUfJQo41q3yiUaJ06OhTpam+dt2fMOKj7gSygFDiIIX10X2sMyqZtCOiSeLdGzyQPmjASd+PdmnIAQNd4V0SrwokGP26HCC0NGa3bIZRu4k1ugFAbjSZF0ylRzqsNkaD5ae5YjH40RH/DXdM4CA9eQOLBy5pG8/uZ6ckJlJ+ILGVSfqJGLV+sZB10vhAKVxhtNFJHI28HZ4xRCdcZY/Rt2i0tnm9LKcuBqa04FhtFrCr5LoBhvTpzNLTfEOd20LdrZ9YrhFB3j3dRUWvcbCtq/Ua/Tu3m6wtKHr1+cLg67/y3dyvZOUn0N/F4GqjHQxwN1BGrbKdWd2G4Tg2JHupHQ3Qes2nxshrDkTS1Zs+YkS+WTCK1+IjHg5dVx5LV8sXKd8Oh/4IzFo4VQ7d08zZC5FWmslj7E0V7AqR3dTKjMpVsu+xqu8VMFF8PjEKDac1fJ6X8nvXDsmkpeQWlzPvXTmLdGlJCvS/AvH/tBMyXfJfAR/sqSfQ4QvWgGpRUv90OQUVd5B5URZ0xE1IhxikY1isJl0NjWK8kYpyCxoDajTjepVHn18OtGpI6PIAItdFE3kEPaqgkkW7UhKMDzWPNvtjpzqrZs/3xvkritCCJupca4knES0CLVcsXK90M7gRj7+nAJqOvQF5BKYtWFbLwptEREa9g/loBjLGUrAuVobcjAVsDM0t8eUAS8B/g7WZfNm3IgpW70TR46uaR7Jk/haduHommGcfN4tSM2Lhqr1EQsNobRISOm6Gp4J43YOxBeQN6xHGzNAYkD728iUGPruChlzcpOycg7JTUnRM4TtG7c0Q5I6vHg0RQTzRqFJJpXXaydfCLTOuyk2hmUho6vTmKhgy15s9VQJekdXVTSnckglK6k9bVrbZcnDoafLXw2QdGmzravA1g8ZoiFt40gix3Ma71z5DlLmbhTSNYvKbIvDE7n+qsYMZBxUkpZ0sp/yGlfL3pq9VGZtMiyqq8/PqUEhm/vnUkZVXmlRsCupGlMm1sH7Y+fjXTxvZBYj4JVQLfv+Ii+vdIQBPQv0cC37/iIqVbpkMI3A443uBHx2jdDuO4CkluEEiSzFdoB6BnYgzxHie944xKur3jdOI9TnomqpfbqCMGGWpVEUhyjw9l5O67yT0+FBGFg9JxMKGXzicpv2RCLx1dMSJwZ4VOott46El0C3ZWKD4UxCQADhAOo41R0z0sKq+lrHgHk/+4lX5vD2LyH7dSVrxDKQk5Ijdr5FS7BEgrYcZBvSWEuK7VRmKjzMf7jjH5mbX0m/M2k59Zy8f71FPSsvp3I7/kOKPm/Zv8kuNk9VcQ98SoonumfkuZNu5CfEGdQOgmGcCBL6gzbZw5iaImqnyGE67yqd3A51w3BD0YoKxeIhGU1Uv0YIA51w1RsgdfjOJTwarcrCZyD/Vk5JG55B7qGZWdG0b1oeDxydwwKoqNntojQBCShxhtrVopmeREDwvWHSfn4mMUzr+OnIuPsWDdcdNJyICxrPfJy/DXa4zWFrBtFcwkJTwE/FwI0Qj4CS16SykTW2VkNi0iKdbJn9buY851J4MIFqzYTZJKvgmwZf8xgroRnVZ8tI79lXWmbcS5HSzfephpY/vw6v1fC+dTqVT5NbBKr+5Up6S2dyQDjTTPMzL66pyqD2iW09XijcZFNdmMps6vA8jdeIDcjQfC/aCKoYQUcLjB5THahBS1AUkJTjfsWwOramDfZnBerC51YqVUis2XYqYeVCcppSaljJVSJob6tnNqY2LdTuJjHCxZv5/hj7/LkvX7iY9xEOs276AExn6PHrrgdClpDJh/Fk/0OIl1aRH5VLEujUSP+TG9vGE/IHGEZhdGK0PHzz4LVuzCJx2RMzrpUNYr/HKnqWohUpNC5bbZtN14qrqFigDEqfNB5fnhyNvBFSrC6IpTDg0vr2lkzg0jyHH9mEFrx5Hj+jFzbhhBeY3CA0bJOrjkLvjeu0ZrL/G1Cl/poIQQg0PtJV/21fpDtDkT5dVenrhxeHh2Eud28MSNw5UL6EHTA6FUfjAsr2nkpkt7RySz3nRpb6UbgbH9derHVIs6/0iVsupG/DhIpBaQJFKLHwdl1aqzKBEOQjBatXmPEdhQYeyLUaEU2ADG+e7kcdK7iwcB9O7ioZPHqXS+JTAqxcGGibsZleJQ3xXrMwamvQoDJhutYsRcWFh51rUUP3kDq2ZdqyysTNp4Q3bp3UeN1l7iaxVaMoP6aaj99Zd8LWqlcdm0kPTkBIqPRm7yFh+tVbroJIa6tiOk+O0gQIxm/kk8uVMMywsOkZzoRgDJiW6jr1BEsWlkXahGhNq2rnyoIagXRrmNehEflSIFzVQFRbN/zeI85Zyc2jfD2Iu6Un6iDomk/EQdYy/qqmRHAz45EmDcmkF8ciTQ5rV9moSVm1eMnv36NmZMVMiraqpRFdfVrlHVinzlZ0ZKeV+onfglX1c1/ZwQ4urWHKjNlzOuXzeeW1vMLaN7s/2Ja7hldG+eW1usVrkUuCn1GEUTN1Hy5A0UTdzETanmAy68fp3axgDTs9LYMe8apmelUdsYwBtFaPc1MZ9S8Pg1XBPzqbINgPSYKj6cUEh6jHmppCZ04LYxfdn6+GRuG9M3KkUKwkK4hIVwVfDhoIY4hNCoIQ6fYuRdUqyL93aV8bC2lJ2ee3lYW8p7u8qU9AFjhZ/eogIN6C0qiBWKKhkHNsHfboSPnjVaxZDu7IxUZk4eFFE7LRphZZvWx0qx14XAvy20Z9MCNhRX8sCEfry6+SALVuwmPTmBByb0Y9VOtUinZQe7clFFGdMC/4/czWUs82aZtnGiwc/Xh/Tg6Xd2M//tXbgdgqsG9+A/u44qjQkkuY3jyX1iFTAe9cRYQVFjEpevTQr3VTE2/z+PyobVVBOLlJLqKJQtYt0OZEMDS4LX8KvgnaRylAQaiHXHmTcm4Cn3X8jsk0D+gVru9f1Mzf/+53HwNxjJut4qo//dlQqGrBNWDudBjZxqtPYsqlWw0kG1nyv1PKKovJa3fzSemdcMDh/zB3X+8P4+07Z6Jnk4Ud/IwsZvM3+dURrB7RR0jjO/NLe28Cj+0MaFLyhZW6jqnOCL4qeqi0XWRPFF2opORQKM8HKJFm5Nv14YycIBeTIa0CmEUsRcebWXdGctewLJABykBwOd5RRVmy8U2aA7+ZH3+1TsTaI7VTSo3m6OlQACRtwGHy8O9aPACgUIK2tU2ZwWK5eF7VjLNiA9OYH8kshluPySY0p7UHOmDCbe7aJnkgeBCInFupgzZfBXv/gU/LpkUrdjbH7s60zqdizsrMxi3PrlKblC0Wb5REv0kXeRr44uzHxAcgKJMnLJMlFWMUDhMxDjdLAnkBwRuLEnkEyM09yS4cCUBL6eXEO1SAQE1SKRryfXMDBFISBhxK2AhI1/MtoRt5q30YRVChB2kMRZoa33LW2ixMqN3+yMVOZ+YyhxbidCQJzbydxvDFVaEnEIwdrKJEb/8j+srUxSVn6QgAc/TTFgDiQe/G3+NNSk1BCNYkMTkVF85qnxBjhGIqMoZEPvxYyikGMkKpW2aPAb867bu3/G1qsLub37ZxHHW8qMiens8nbmxbjfs3fAYl6M+z27vJ3VAhIGX28IxbrijHbw9eZtNGGVAoQdJHFWMCMWGyOlbDzDsRIrB2bTMqyuqGvVGn1cjJMkl0ZpTZCendxU+TW1WkBAuvMoOwK9AAjiYLDzCNsDbbexLZq5JaO2rxVuSp3DVV6Gif3UEU/WwQdJF6UMYz87qtKU7F3X303+Z3GM+ndP0rUyruvvZsU+cwEO2RmpULmPnNW3UrTXsDNzUrzaZ6tkHWTeYziVdx+NbjnNyuq8fcbYjqmVMbMo/DGRJd8jjkkpv23VoGzMYdnGLzA3bzvLNh0Il3yfOqYP87KHm7bjD+o8dVdmWDX6ey/mK40nzu1gu68XidRSTTydqGN7oJeSKoVDE1zgCVJaL0iNkxz2OlCpxdg0d2raf4rWOZ1aUVeFJX3epnv5R+F+RfJljP58hpKtY/VBkKETI3Wjr8LR3eCKhUYMFYijuwGFEutp4yH3FkPFvHy3kQulStPMp2SdPfM5B/hKByWE6AmkArFCiFGc3BFOBBRCe2ysxqp6UHPztpO78XMemTIoLJv05MpCANNOyuvXufPPG9GloUKgmljr9QcRCNwxcYhGQq3Aa3LJCSCow8F6w7EdrFcbT3tl+oEp+LmRIplKuijFdUC98OGGw0EEvZAI9speyMNBzAaC5BWU8vNPU2gMgo6guDGRn3+aCINL1R6m2pmskFXXnM2Zackj2zUYCbm9gd9wMkn3p8DPW29oNi2hqcZNzo3DKPzlFHJuHMaiVYXkFZSatrVs0wEemTKIe8f3J87t5N7x/XlkyiCWbTpgyk7PJA8uLbLqrEszjptFlzBxSA+qAy4kGtUBFxOH9GgzJYmTnCoG1HZckORhh7yIz6URefe5TGaHvIgLFM63y3EyLKV56zJZy2tu3nbqgw46i3pA0lnUUx90MDdvu+kxWSorZEGQhJXXnM2ZaUmi7hIp5UTg7lOSdG+UUr5xFsZocwbCNW6aldtQrXHjC+pMG9s34ti0sX3xmV0HkxKnQwvXkXJqAqdDU3763bDvWIQqxYYo1NqtwcooPsFJlTo1qSMpJRoSL250BF7caEikwvn2B0/qHjbhQDddy6uqIUAnR4DfOX/H3q4/43fO39HJEaCqQWEfMm08/PclQzn8vy9FFzFnQZCEldeczZkxswf1lhDiDr5YUXee1YM6X7BimaCovJbMtEgpmsy0rko1btwOjdyN+7l3fP/wsdyN+3E7zO2NlFU3ognoGu+mstZH5zgXx+p8Snp1Aqj3BXE5BEIYEWv1vmCbJ9050AmihdtoWHpFDZkVr5Pf/Sbu+KCz6deXVTfSXdTwO+fvyXQWkx/ox48CP6SsWm1c8U7JHzs9T6ZvM/nu0dxfcw/VCn7lih715Bx/kKJjnUmPOcEV3ep5q0yxYrAMQlWp0UZBni+TxR8UUrTmLdIdacy4ahDZJm1Yec0BdmXeM2C2om42EADqmn3ZKGDVMoGVeVBTx/ThyZWFvLBuH/W+AC+s28eTKwuZOsZcLR8B3D6mD5sfu5rPnryezY9dze1j+ig5labn9qqGALok/ASuOmdpXoxRHUEMPkCG2ujc5bQPOjFg5/eY9kEnZRv/M9xBlmMnLtlIlmMn/zNctbQJBHBCw3Fjxttw3Ogr8HZZErdo77N9/CZu0d7nbVXntPUVCPohKdVot6pF3uUVlLJoS4CcG4ZQOKWQnBuGsGhLoE2vObsy75kx88nrLaW8ttVGcp7RfJkACC8T5CzfYWoW1ZQHtfCmEeGIudmvb2Pm5EGmxzQvezgbPzvG/Ld3M/9to2T8oJ6dTAdISGDFp4dZu6eCQyca6NU5lrpG9dwlhxAEpaQpau5k3zzN6xNFQ1N59ujKtAPIUxJ11ZQpFu+O42X/bymlO6lUULVbPX6pISC5M/AwOhoaOlJhTE2BMfMbvsX8dZHHTVNbDsFG8HuNtrZcwcip19zlZAELkyva9JqzFSnOjBkHtV4IcbGUMjq1ThvAumUCK/Og5uZtZ8+RGnokuKms89Et3s2eIzXMzdtuykk5NUFdY5AabxBdGmXpNUF4T8osQSlJopZq4kikjiqpVvLbOqyUTIqepFgnVQ1+augBGPJE+FEqWpkU66KqoTHsNPWQ00yKdZuyc7ogFqXgloQepxQs7KFgJFTyvcrL5GfWhq+V+yf0b9NrztK8rA6ImU/w5cDdQojPMDIbmirqjmiVkXVw0pMTePY/e1i180j4Qz55aIrSMoFVeVC5Gz4nyePi2dtHhZ8MH3z5v+Ru+NyUg3I5NBr8QRI9Tqq9AeLcDqq9AWJdqstOkhpikQhqiKWtHQIYqg9NM4xo8pesoMFn7MsIZChx2GibjptFAN04QQWGhl4laktzGkE0YWgEOoWOLnV0FZX1kXfA1n8Ye1Cay+grkNwphgUrd/PsVR4yfbvJd4/loZW7lcrAWJZ7aOdlnREzV9YUYAAwGfgGcEOotVHA6jIZVhCUkmduGxkRnfTMbSNNL6c1+INoAqpDyhHV3gCaMC+XcxJJV2oAQm00UXOy2ZcaMUKghV6vIYlRlHECGJVUT0nKI5Qk3ENJyiOMSjKfoOULSlz4SaUCDUkqFbjw4zMZeQdQ1eDn/r6H6Spq0YCuopb7+x6mqkElr8rB7JjX2Zn+B2bHvA6KJUAAQxG3eatqI+iD934J9ceNNuiLzqYV9BkD439mO6cvocUzKCnlfiHE5cAAKeX/CSF6AG291nLOYnWZDKv45yelLFj+CUXHAqR3dTK4T7KSHV0ayg1BXYZbVTQEFaGn+AqS0FAtH27N0lwASbBZyXeVPZomtlXFklb1pNGpBdW6s1enBik61AgS4kQjV/cKskIxLedrfeKZfeRBYzkt6OODPn/guf3m7fRKEDxd+03mFzlxE6BXguBgrcL727r0ZJBEbbnRV7iZl1d7WTSilJzC71C0NpF0z1DmDDrIzG12gm17xYwW3+PAaGAQ8H+AC3gZuKx1htaxsbJMhlXEuR0s33qYJGqRxHPkWBV7jgWVZIUA4t0a1d5guFVFRyAIhktSKC0TWUhQQgw+GnEbrTS3PxNh6xTHphpAv6LUQ3cS0IFjMoEVpWrBGz2TPPzsYxfP9riRzB8uIf/30/nZxy6lJOuDtTqTtG0s7LKc2cdvZHXtJSg58tqjpwRJqJVuMUq+x7OKB6FHT6gpY33SYrXoO5uzgpklvm8BNxIKLZdSHgLU42LPcywNVbUIl8PYv6ghLrTfE4dAmlYRaMLtdCBCbXTIUFl1EWrbXr2hEXdEGw0OAoAMtepU0BkQoVaNOVMGoztjmVV2FQMffZtZZVehO2NNl1xxagIHOqv1SxhdmcNq/RIc6GqBMgk9QDjg6C6jVQySmDExndkb3aznYvydL2I9FzN7o1tNYd3mrGDGQfmkDMf6IoQwX8HMJoyVZTIAI39i3a+jyqOoagjwwCVxpDvK0JCkO8p44JI4tex/oKLWhwy10RCjiWZ1oHRiFKMBv/j0rmbHI3R6cxQNSW+O4hHqRd8TtQBBnIAgiJNELTonFS3ZGakMTfJTSg8kglJ6MDTJbzogIKhLkkQDvTmKCJ2nJNGgttTbWGck6OpBo21US7/MzkhlZto+cnx3MWjvDHJ8dzEzbZ+todeOMeOg/iGE+BPQWQhxL/Af4IXWGVbHJzsjlZmTB5GzfAeDHltJzvId6qGqFib7jRs1nFX3j6T4+kJW3T+ScaPMK5k34XEa8x2PM7ootwCEk0UDOKOYZ1gjUSRDSt/ylL4Kg0UJA8VBNCQDxUEGixIlO9op7+XUfkuZm7eddeWuCKXBdeUu0xp6A1ISGO0sppwuSATldGG0s5gBKgULSzeDpzNM/LnRlm42b6OJC7NorkRv9G3aKy2+c0gpFwGvAa9j7EPNlVL+/kyvEUL8VQhRLoTY3uxYVyHEv4UQe0NtF9XBn+tkZ6Sy6icTKF5wPat+MkH9Sc6iImw9kzz87B9bWe/rhz/rJ6z39eNn/9iqtP8AhrafDLXRENSN/SyBIN6tKZXIaI6IMmqrEWdo+RNqiKNRtZQ5sCmYTh/K2BT7Y6MNqs2gdURE4UNdcXb40sf7AUESdQgkSdQBInS85Yzr141V/ovxhc6NDyer/BerRakOuRG8J2DDc0Y75EbzNmimJHF5HIVD/4+cy+OUlCRszh6mHm2llP8GfgH8CtgihOj6FS95EThVfeIRYLWUcgCwOtS3iYa08fDJy4aY5icvK4tpzpkyGF2HWa9tZeCjK5n12lZ0HaWS7zEOEaFmHqO4j9VEnc9wdnW+KL0TKImoNuHUBG781OFBR1CHBzd+pb2Vpryw1XI0oxueZbUcHXHcLFbUlZKAGz+dMMLdO1GPW6GC8bL8JrUOPaI9edwEVz8BF98KesBor37CvA1CShLj3WRtn4srZQhZ2+eycLy77UVeLVie76i0+JMshPi+EKIM2AZsBraE2tMipfwAOFV6OhtYEvp+CfDNlo7B5gxYUC8nOyOV60dcQHm1sXdUXu3j+hEXqM3shKB3Fw8C6N3FE3WuSfcEV0TbVgSlxIeDQLMwcx8OJeml0+WFqeeLWUNTlKQ4pW8GX0AnxiFYekUNe4f+laVX1BDjEPgCCg8YBzbBvvcgY5rRKt7Ii8pryfRthH5XGqXa+11Jpm+jusirFRzYBC/fDHtXGa3tpCIw86g1ExgupUyTUvaTUl4kpeyn8DtTpJSHQ9+XASkKNmyaY1G9nLyCUt7edjiitMXb2w6bXgKJcztoDOhMGNiDgsevZsLAHjQGdOVwdY9L43e3X8Le+VP43e2X4HFFq9yg7iy1Zv82PxrNiLpzAoGkOyeisGIdATQmaAV80vVRJmgFBBTf3f1XpZN13TRc33mDrOumcf9VigFAJeug34SQU5mg/PlOT04gv64nbH8ddi6H7a+TX9ezbcPMty41koVTRxvt1qVtN5Z2iJnF832ApXVIpZRSCHHaR08hxH3AfQAXXnihlb+6Y2GRnteClbvRNHjqihgyfQWGFMx7DSxYudvULMrrDzIwJSFCmHVgSoLyk6rXr/PQy5uobNDpFqvh9UcbZq7++tOJMyiINoQ5RiISwTES1Y0APaiikkS6Uc1RRXmiJl7RJ5F77OrwvpYKf3q/mLFp3cKyWX96v1jNUGw32P4GVO6Dw1shTaFsPKHI2bxjLEy5nczYI+Sn3M7s/DhmZrdlmLk1kaUdFTMOag6GYOxGDC0+AKSUPzL5O48IIS6QUh4WQlwAnFaaWEr5PPA8wOjRo9s++aW9YpGeV1mVl799I5GsddNh5FSyNk7n11e+yHf+VW3KTnKih7IqL727eCg97iW1i9FPTjQfbOEQhrLc0QbjRnm0QUcTAqFwITtC6b6R/banGzUhx1ITlWOppBM6gsoo0xNdBPGHlvV0tFDfXCCIyyHw+nXu/etHNAQ1Yh063qBTKafurvdj+dD7MvIz4/Z9+ft1vDTatBnjIavYS07+SIpkKumilJmZ3rYNMx95u+F8SzeDM8bo24QxM3f/E/AesAFj/6npyyzLgemh76dj1JmyiRaL9LzEke0REYHiiPkS3Q2+IDWNAbx+wx14/UZfRbw0PSUBXUriNWOhKV4LoEtJukK4chCJByMny4MvwlmZpXnEXLRY41hk2GU3FWtXwYjY/GI4vtlIzkW3jERDpy7oMIJJgg40dBbdMtKUnbv+spF1FfHcof2brXE/5A7t36yriOeuv2w0ZaeJ7B6HWDXkHYqH/ZVVQ94hu8chJTuW0WcMTHsVBkw2WluPLwIzj0UuKeVPzRgXQrwCXAl0F0IcBB4HnsTIqboH2A/casamzRexojIvQM/EGH66vS/PitfJPDiF/EN+fiovo2eiObWEqgY/HqfgRL2RsXSiPkCMQygJjn52tI4eMTpHG42Pap3upEeMzmdH1ZI1vSHlB2+UChD6KW10tqKLvotzOaj3y7BMUlOF3ziFaMAByQmUVTUg0MPSUn6cDFDYp+kiaomV3nCNqgZhfgb94d4KpiUWMN/3EvTOZP7nL4G7B0v3jjJtCzCWC4vfhwtGGsuFQ7+pZsdK+oyxHdNpMOOgVob2hP5F5BLfqVF6NPu/081XJ5n4vTZnoKky76nF0wDTTmrOdUN4Im8rsxru4tDervQSxwh64LHrhpgely4jJYlO7bcUX1CnMqiFyj4Y+yuVjUnoSq7hVFHXaMp2aKe0bcfNo3vzt49LvvS4WT7eV4kLPxKNAIZ4rcDPx/sqTdlZvKaI290fssp3MSIkYPtN92YWr+ll6nMpgeJgChd5/4bcY/y1xjkOq899Gyph+LchZRh062/0VbFLtbc6Zq6u2wntQ3FyeS+KlG4bK2heJbSpRMbCm0Yo5XZkZ6Ty+KCDxMXFgdCIi4vj8UEHlWZjvqBOvNvQ4ot3O6JK1nWg4xF+QOARfhzK85b2uSEdjxeQodY8TUm007R/s9X1P0zT/h1x3AwBXZJEPX9zPcnemO/wN9eTJFFPwKRE0d4jtbwpriLHuYRCz3fJcS7hTXEVe4+YD5T5uK4XdzjWsDXhx9zhWMPHdb1M2wiTNh72vAub/89oFXMG7VLtZwczShIXfcmXSpi5jYVYVZk3TI/BRra+lEbbw3ySbhNV3gAy1EaDHwc10hCurZFx4Q18FYw9qJN7UW3NBRwPBSAI/Di5gOOmbUjgNtdHzHe/SJKjgfnuF7nN9ZHyLGNybCFZjp24RJAsx04mxxaatuFyaEyflEFWxnBcsQlkZQxn+qQMXA7FGafmgJQhRhsNR3aCrw4aThjtkZ1qdixSbwHsRN0zYCZRd4sQ4kEhROdWHI+NSaxURQ9LwdwwhMIpheTcMKRdSME4NKjT4o3Ndi0e1XscNO09iaj3oKziMF3CeUYBNA6jpvz1sX8AF3lzSfPmcpE3l4/9A5THtKwhkxf8U6jX3bzgn8KyhkzTNvy6zpIPCln/6R78QVj/6R6WfFCIXzc/+x3XpZal/isYue/7LPVfwbguUSTWfvI3QxH90ulG+8nf1OykjTdSOt591GjtmVirYGYP6jbgu8BmIcRmjJpQq2Q0ujE2UTNjYjo/XPoJsW4tHNLd4NOZ+42hpm01Xy6Ey8kCFiZXkLN8R5uG4gZ16JHgprLOR5c4N0ejVEdvb1ghUfQ5yXjw4cVFDH4+R63QZM8kDyeqqlkYvJ35wTtxEsRNgM5J5nK0BiQnMNm/hpza2ynyGiHd34zbxKrkiabsCKC/s5xlnsfAGQuBBh51/pKNqrVSO/UEuQVKPgQZMPoqWFWqvflMrKlv72eFMVNRtwh4VAjx/zDKvf8VCAoh/g949kzBEjatS1NFV0NNSIT65ikqr6WsysvkZ9aGIwLvn9Bfebkw3u2gwR8k1uWgTiHEvDlNTqmjOScracQFiFCrxpwpg5m37ANiMaLvenKMBjzMmWLupjljYjqL/rGfhc7nyEzrTH7JCWafeICZt5pLir18QHdy90pwfZ9Z41N46v0j5B69iPEDupuyE+ayH8O+96G+ElzxRl8VK6LvLEqy76iYemQTQowAfg08jaFqfgtQjZEfZdMGLF5TxB1jLgzLCMW5Hdwx5kKlIInkRA85y3dQ7wsgJdT7AuQs36GUYCuAOl8QXRpttBWckmKdaMJomx+3MUgVx8KZUBJBqlB7XszOSGWu6yXiRCMCI/purusl0zNoo/ZSMTmB6Qza+yA5genMTCs2beele8YyvmuVscT370Es9V/B+K5VvHTPWFN2wvQZA9f8CroPMNq2nq00zcTiukY3E+ugmCn5vgU4AfwFeERK2RRqvlEIYZd9byP2Hqml3hfkqZtPhpnPem0bpccbTNtq8AWpbQzww0npTBvbl9yN+1mwYrdSeQprKi+dfJ1RNFGGiycqVnLCujBzHeP5rqlVxZoxHZadz9g3Q3bsNrJ9H5084FZLIN7SkEKJ7ImOoET2ZEuDJFvBzs2Tr+TIP9+jqLEz6TEnuHnyVUrjAYw9nn/PNQIu/j0XUoa2vVOw86BOi5kr6xYp5SQp5dJmzgkAKeW3LR6XTQtxOTSmZ/WNCDOfntVXKVqqqsHP9yf049XNBxn++Lu8uvkg35/QTynB1moSqY1o1bAuzNxFEJChNhrEKSXf1cakh52l0YtmPws9eOZ+C5ibt53cw7152LGMnV1m8rBjGbmHe5sufJhXUMqif20hR3+OwrTfkKM/x6J/bVEP3Nm6FPz1UFVqtLY4a7vGzB5UsRDiemAY4Gl2fF5rDMymZfh1nSXrSxjWKyk8g1qyvkQpWgogq393Zl97MjF33d6jPKcq8mkRAkk18QBUEx/aZVO7kbsI4MehpC/XHH9on8cfxX5PE8HQOIJRjMfAmuThvMZRLA7cGNarmxFcbnrms2zTAb4Rv5tX669kwfFppItSvhG/m2WbnMzLbnmV5sVrisiO3UZO4/9QVJJMurOc7NhtLF6TpBa4c7QQdD8EvEZ71HwIvc3Zw8wS3x+BOGAi8GfgZsCOiWxjBiQnMHloCjnLd4QDG76ZkcqqnUdM2+qZGMNP/7GVZ6dmhJ3dT/+xlZ6JMa0w8pZj1XIhEHZK0TgnA6uW+KxBQ0dDEsCBkyA6QqmOU15BKYsCt7DQ+TyZWiH5+iBmB+6DglJTDsEX1Mn39eVp5zNhOw/7fmI6YXvvkVrqPUN4SiwiM7aY/EA/ZtXOpNSrOJMONBrh5d36G6Hdgcavfs3psJUkWh0zV1aWlPI7wHEp5RPA14CBrTMsm5YyY2I6eVsPkTPOQeG1u8kZ5yBv6yFmTDRfQmDOdUMI6jqzXtvGoMdWMuu1bQR1nTkKUkcASR4nItRGiwgtXwlL1O+swCqpI2vcr44WLvNuOCe1cS1eU8TC2L9FJOoujP2b6aAbAQSDfqb5H2VA49+Y5n+UYNBvet7rcmiM9hwygi0a/kxOYDqjPYfUE35HfQdkEMp2GO2o76jZsfOXzgpm/spNu+71QohegB+4wPoh2ZghOyOVmZc6yXlrF4NWDiLnrV3MvNSptPyRnZHKDSN6UV7diC6hvLqRG0aY005rjqEkIaNWkgDBHe6P2HrZJu5wf4T63pE8pThge0jhs25fzI0fgcSN+p5hUXktmWJvxLFMsdd0qoEEyvSk8Bk+td9S/EGdN0+kcVx2AgTHZSfePJGGX1U6K2UouBMgtrPRppjPFwSsVZKwOS1mHm3fCqlIPMXJMht/tnxENqbJdueTfcUxuOZeI7PdXQ2YL+rWvKJu6XFvuKLupX27KDqp5rcn9Rtv51gXSxuuIPcjiUDQOdbFCaXADXFKccCOFazuJSaiVSE9OYH8Y33IcpyUAMr39VGuOquFAjY0xcANhyZwC4gJ+pBIYvAR5wCfVPzblayDgdcajunITvXE2LTxkHuLUcepfLdRKsPGcsx8YhYB3wPuAj7GcFTzW2NQ5xVW6HBZJLsSrqh7cRl7hv6Fpy4uQ9OM4+aReISR/+QRRsSbKica/FzV7Ribk+dzVbdjis7JGIcWGocWGp8qxoKatKQeVKQjV8eKGlUzJqYzO3Af64ND8UsH64NDmR24T2nJ2KMJXo77LXuTf87Lcb/Fo5l3KgFdEu8I8JTrefbE/g9PuZ4n3hEwLV4bJrZbRMl3Yrup2QFDr7J5a2M5ZmZQS4Aa4Heh/h3A37DrOanTtI49cqrRqibqWVhR9+sXeLn7g3h8fA83Aa64oJr/HDafqAvglY6IVoXxA7qzbu9RVld2YTSPho5Kxg/oYcqOQwj8EoKhwIEADqQM4lDI8YKTskSq0YQnEad8r2ZPICMkk1QjHbMzUvnDsgbu8D8aPjaIz5Vm0KmeBu6ufwhfvQM3QfrENbCvPta0nZtd68lp+B5F/gtI1w5zc+x6nvNdadoOYF25jZJ1cMldxhLfu4/aEkWthJkZ1HAp5T1SyjWhr3uBlseL2nwRK9exLaqou/qwm4e7rGPnvGt5uMs6Vh9WF1V1hGYEDsv2etSdQVBKgjiIx4sIlbYI4iCo+PTbjeP8R/sp3RTUx0+lV4LG++ML6ZWgHnAhERFK7aqO866/bKSQCyNKdxRyoVIF2331HsaLT9js+RHjxSfsqzf/oNMzycNrvrHkOP5KYez3yHH8ldd8Y01X+A2TNh72/gf2rjJaVZFXq8Ribc6ImRnUf4UQ46SUGwCEEGOx60FFRzvU4Yp3wrDaj3H99WqG1TYS77ySWoUYB4Ggi6imUibSRdRQKc1vkAOs21uBhgxFqJ1cnlu3t8K0LbfQqZPGja0OD26h41Oc3VXSha/rv1F67akcqtW5ct0gjJB11fwuf0S1YBd+/AqK7R/urWAgB3hVn0iufjVuAgzkAB/uNTcuo8pvgNVyNKO9oyOOm2HOlMHMe30Ts/zfp9TfjVQq0V0OHpuiXgYGGTQSdWUUSdZWicXanBEzj2yXAuuFECVCiBKMfahMIcSnQohtrTK6jk471OFyx8Qwy/UIg0p+yizXI7hj1DbcJw1JplokIoFqkcikIWrq2mAsWSU6DLWFREdAOYTaJ7Uz9tsGa8LMT00YVk0glsA+Ug0FCPd3edixjH2kmh5Vvf/Lb/6nO346sjNSmdsrnzjhDWkDepnbK19dXX/rK4YyxtBso90axUOhRasWNqfHzAzq2lYbxflMO9Lhcjs0rhjQg52Hq6GhlrhOCYy+IJEVn5aZstMzMYa1heX4Q3v1Ph3WFpZHlfBbHXSF2vbgVNon0UbMNTHCsZ97XSsBuFdbyQou45Og+dqkk1w7+IvjV+H+PcGfs9pvflcg2/MJ2TGLQWggdfBkmbZxEivTvm1aGzNSR+brR9ucFfIKSlm8piisJDFjYrrSE+bUMX14ecN+usa70CUcq2tk+dZD3Dmuryk7SXFuyqqbypcbS3N+XZIUp76fld4jnhe/O5q7/28zRUfrlO10ZDrRQDVxdKKBqpA0lAqfBC9iRPBPVBNPInVUK9Ze2uXvyXqGhpUkdvkVay9VHTRaZyz46072VRh5B3z6hhEe7nAb/bbGVqQ4Lfbj6DlOXkEpi1YVknPjMAp/OYWcG4exaFWhkpjmpX27oAmoqDXCuCtq/WjCOG6GwrIaTu6lND2hitBxNYqO1nH5U2tt53RadKqIRyJCzkkt1NypGeK1hlMSVJOAgwBOkyHiArhIlBkKEI1LyAlM5yJRprbD5gxF/un+yL4KfcbA1fPAFWe00TgEK1JEbEWKM2I7qHOcxWuKyB7Zi5zlOxj02Eqj+u3IXkr1oObmbQ9Xr9WE0QZ1TCtQn0Sc0rYHrMk5cuHHUDNve6V3A+0UOSi1Szs+xoGOI6y00Z0T6DiIjzEX3HD5gO58JIeRKXbxieteMsUuPpLDuFyl0OAFI4026Ivsq3BgE6x6FCr2Gq2qQ7DKsdiKFGfEdlDnOHvLa3mzoDRiBvVmQSl7FargVjUEcDk0jtf70SUcr/fjcmjhGkxmSfQ4ABFqrSDa/YLmeUbqOUfQFIQgLFAzt07qSIZzs9Qv62pvgDi8nMCQFjpBJ+LwUm1Sruqle8YyXnzKUv1qRvr/zFL9asaLT9UKDRavPXPfDB89C75a0ANG+9GzanZK1kG/CUaAU78J6o7FDlc/I7aDOsdxaRrTs9JOqQeVhktT+9P6gzqzpwxi57xrmD1lkLrmGZCZ1pXNj00iM62rso0m3PjRQq067XGDvH2NyaVp/NjxBkWe71DimUaR5zv82PGG0ufppdhf85lnGiWeaXzmmcZLsb9WG1RjVWhw8ZF9FSr2nrnfUmK7wfY3QooUb6grUvQZA1f9PyjfabT2HlQEtoM6x/EHdZas38/6fRX4gzrr91WwZP1+ZcfiELBk/X6GP/4uS9bvxxHF6tzq3UcZ/cvVrN59VN0I4CaIDyc6Ah9O3FEXCeyYTBKb2ez8PpOEenqiP6izRL8mQupoiX6N2udJOM7cbymJvUKDq4vsqxAfciTe6si+WRoqod+VoRnUleqKFAc2wXu/gOShRmvvQUUQfR0EmzZlQMqX1YPqpVQPCiAgobrBhx5qA+1gkuHDwTTHe8yKzeOphmxyg1GU/O6gaAQplH0ZE/gjvahAI4iucHkPSElgcuPH5FRNDxcs/GZSEatiLjI/qE7JcOLzyL4KyUPgWLHh4GTQ6KvSYxAcyDccS43P6KsQ2w2K3zf2ww5vhaHfVLPTfA+qqW/PosLYM6hznBkT01m66XPqfcasot4XZOmmz5XEPQFcDkG9Tw/Z0nEpTKFiXV/+sTrd8a9GkhucyMja35IbnEhbL4N9MUKu7WtU6Tjw4kKHUKs2W5kxMZ2lJ4ZRL42ctXoZw9ITw9Q+T33GnbnfUhJSjJDwPplGm5CiZgeMsHJXHCSlGq1qmLlVM6i08fDfl+Cv1xhttHtQVkQWtiNsB9UB8AV0yqq86NIQfPUF1G6YAvAHJTLkACQSf9C8qtvo0+w5ne742WBQz06mjp+ZUy8b9cuoE3Vn7JuhqYSI0apTRRwH6YGO4CA9qCJOzdDhrUbr7hTZN8vI2w1nAiGncruaHbAuzLxpBlV/zGijUUVvEixWFC4O0wFD1m0HpUBeQSmTn1lLvzlvM/mZtUo5R1axYMUuYt1O/nbPGPbOn8Lf7hlDrNvJghW7TNtKSfLgcWmIkEsSCDwujRSTwpwbi48xum9n3KGqp26Hxui+ndlYfMz0mATQU6uOiL1r3m8pVfU+xCkzL4Gkqt5nekxW4RBQc0pCbQ3xpvf9xodCt5urmTc/boaHX90aEtVtQEMSTwNBHDz8qnnnklc/nMmNC+lX/RyTGxeSV6+mLZ1Xmcpk7U/02/NDJmt/Iq9SUeYIjJv2v+eCv95oVW/iTaroQ2802mhU0UfdCd9712ijCTPvgCHrtoMyiZWJsVZQVt3Ib24dGRHF95tbR1JW3WjemJS4HBo9kzxowlCSdjk00/VufEGd4op6khPdCCA50U1xRT0+hY12Cfi0WFKpQCBJpQKfFmt6ka+suhGB5FHHy+zs9giPOl5GINXOE+DBsOdB7fUAwdO8idMdPx1GSPe2CCc+XmxTCun2BSUe4ecF128ojJnOC67f4BF+fCYHlVdQyqLGb5LjXEJhpxnkOJewqPGbpq+T8PU2PoHCKUYb1fW2damRT5U62mi3LlWzkzYeilYbquhFq9uHKnoHDFm3HZRJFq8pYuFNIyIcwsKbRiglxlrFkvWfMfDRlaQ98jYDH13JkvWfKdk5Ut1oOCRkyCcZDuuIwk28zus/Y7+lODVBje6mjC5IBGV0oUZ3m1Y2ALjNvYF7XSuJa6zgXtdKbnNvUBpTZ2rxEoNE4CWGzpjPOWtOZIKtGkWyV0QKcpFUj3S7v28ZWY6duESQLMdO7u9rTosRQtfJHVlkDeiJSzaSNaAnC+/IMn2dLF5TxMLxbrLWTcflPUbWuuksHO+O4noTEGiETS8YbTRJ5FYULLRSMLodik9Hi+2gTFJUXvuFvJ7MtK4UKSTGWkGc28F/dh3lltGpbH38am4Zncp/dh0lzm1+k9zl0OjXPY7yah8SKK/20a97XMhpmaMxKJnQCwqu3s2EXkZfBZdDw69DvGZUsI3XdPw6SmNaxTgjfNrvY31wKKtQ27Q/VecuGt07DZ1c1wL2xnyHXNcCpWq4X1uwmsN0ZxSFbHA8yCgKOUx3vrZgtdKYnitJiQgzf67EfFBCUXktmUX/C8XvGarhxe+RWfS/pq+TovJaMn0bI5JiM30b1a+3YyWADsFGoz1WomanqWDh99412nZQy81yW+0AO8zcJOnJCeSXHCOr/8n1/fySY6QnqwlqRisU2ejXiXM7WLvnKEs3HiC1i4c4t4NGv/kbnS+os3n/CaaN7cOsawfz1Du7yd14wLQdgLREwdIdDeTuGISggbREjZJq806qwR/EJYJU6YZiQ5XuwiWCmK367tQEJ3xwR7gqLzjQlWZip4aNRFNVV0fjTv+cqFTID1d5GUUh//TMA+Cfrnl8yzuXT6rM10xyOzUaA27u9f+MemKIo5FG3Lid5saVnpxA/pYNZIFRvfZwAflbNpCePNG8nbqeZG3/BVTug8NbyR8zSf16K8032qQ+UHXgZN8saeMh9xZDdLZ8N0x7Vc2OzRmxZ1AmmTExndmvb4tIjJ39+ja1MFwLom6CUvLEjcOIczsRAuLcTp64cZhSpVgBXNa/G/l7DzHqiVXk7z3EZf27Kd1+P68O8nPHy+zs+ww/d7zM59XqybWnvheV99Y/OYHgKR/3IBr9VW90FnJqcIMK/cURBnqXkObNZaB3Cf2FWh7c0zePwEWAOjxIBHV4cBHg6ZtHmLIzY2I6s+vuMGZih7azPjiU2XV3mL5OZkxMZ3Z+HOsv/D7+wTey/sLvMzs/TjmNgvgeRlt9OLKvghVLfDZnxJ5BmaSpjEXzxNiZkwepFVCzIEnP7dA40eBj1U8mhI+9sG5fOILODBLYX36cp3iWzAmjyf/vZmaVP2Q6IMGpCXRdMj94J/NDRVo0xdkKGDk+Ah0ZEkRVyfHZcxol9dMdP9d4TV7Bo46XmeZYTW5wEvODdyrZyc5IhdfvYXHgm+FE3RnON8nO+KZ5O+9tIOfoyYTfmT02kJ3xHfN2KruRs7o/RXsuIF3rxMxJ3dQLFvabYCzraQ4I6kZfhaYlvmvmG0EJdoJtq2A7KAWyM1LVL5DmWFDyfeqYPjy5shCAaWP7krtxP0+uLGTa2AtN23I7NEZ3Ok5O1T0UfRBHetxIRicdp7zeXLmNgC4BjTgaqMdDHF7qiUXX1Z80O1FPNfGh1vysR4b/FRFHo1mea2/8OngrC4LTotQrhGxXPtmOj08e0NRuE9kN/yQ7JtdIrg36oCEO+IN5O/pqst2/PVmwUP8xcIXSmBh5B2z9h7GfVX9MPVE3bTy8fLOxxHdkF9z5mpodmzNiO6i2pCnqpmSdctTNvGwjt+Tpd/Yw/+3duB0a08ZeGD5uhqlj+pC7QecRzxtMu7wXuZsP8eThbzNtXB/TtobFHMUf0CkKeujtqMblrGVHo5rUjQNJPbGAoJ5YHEiCSo7FOuXw9ofEi1EQ0mhPdcYm0NyG2nfzvgJ5+mUsbvz6yZmY4z9kq9jZsJPFjQtP2tmwmuyrlYZk4HAZShKNUc6erUqwtTkttoNqaywo+T4ve7iSQ/oyOwBPb/wW89eBW4Np4/oq2T4suxMXrEAC9UGNeodCHaAQxu6VsawXwEHbSx1ZS0woECEGH43EKNkQwM+bLfH9KjhN/SzJwJn7LaApD2qhc3G4ou7sxhlQUGpq9SGvoJRFDd9gofM5Mp37yA/0Z3bDA6bthClZB71GGU6l1yj1pbmmBFsrlvjsirqnpc2CJIQQJUKIT4UQBUJEIb9sY2CVBlfNkZNPz3rA6CtQF3RAXCjAIq6b0VfGqplPe5xByZBTEqFWza1IBPODdzLU93/MD94Z1dJlnm+MoQDhfdlQgPCZv2kuXlPEwi7/CuVT6WQ5drKwy7/U8qBS1xl2ZKNhJ3Wdeh6UtxqK10DZp0bbpGpuFquSYjugPJGVtPUMaqKUsqKNx3DOk7f6Axa/V0hRcBDpjq3MuMpL9iTza/Rz87bz8vYGurokFX5Bokvy8vYGyNtuahYV69Jo8OtU6250glTrDhqDwSjEYq3iy2ovtbWTal9OM6+glEXBW1no/OPJmU/wftMzlqLyWjJ7NjkR47xnOosoKjOfB1WWEsfkZkt89/t3qedBlW2D+GSIMUraU7ZNzY4Fy/OArWb+FbT1HcMmSvIKSln0YSU5Fx+jcP515Fx8jEUfVipJwSzd+DmdYgS/cy9m74D/5XfuxXSKESzd+PlXv7gZXr+OU4Nqr7E4V+0N4tSM4yokepy4MWZ1bgIketr6uQqsKh0PhDUCT9UKNEt3TiBCZdpVWbymiIU93o1QkljY413TM5b05ATyjzcFsxhON/94gun8peRED4+XXRahrv542WUkJ5rThwwT1x3qyo0yIHXlRr8t6YDyRFbSlg5KAquEEFuEEPd92Q8IIe4TQmwWQmw+ejS6oncdlcVrilg4uQdZnz+P6z//j6zPn2fh5B5KSyABXXLb0BhyGm5j0N4HyWm4jduGxoSi8lqOJgRuh4PeXWLRBPTuEovb4UBT3EwOemt50bWQvTHTedG1kKC3bVQ7IhGntNFYssZBNZWfj6YMfVF5LZlyR8SxTLnD9IxlxsR0ZjfeHVKk0Iw8qMa7TecvNfiMnKzpjnfZHnMv0x3vUoeHBp/5fTEAju0DNOh0gdEe26dmx6qluQ4oT2QlbfkoermUslQIkQz8WwixW0r5QfMfkFI+DzwPMHr06I61M44x+1m8piicTzVjYrrpjd+i8loyx0yB3ieXGzJ7jaZo+UqlMS37tI4/jjhG5i33kP/q09z/aTJmPyZBKfEGgkzP6hsOfV+wYjeqUeZ1eLjLP4cgGg70LyTcntvIUxJ1VZcddRpC+oANxGDUqDK/72coN6SQRUn4WH59iumZT3ZGKqxYTU5NszyoTqvJzviuKTtVDQG+HrOHpxunMj94J24CXBWzh/80KBYt7HQBsCW0z6qH+gpYuTRnQaBUR6XNHJSUsjTUlgsh/gmMAT4486s6Dk0qzQtvGkFmWlfyS44x+3VjPdyMkzopvXTyQ56/r0JJCkYAtQEnOwr3kPHO4+woPERtYLjS7bJrvIv5b+9m/tu7Aeie4KKi1nx+TudYFycafGGn1NR2jlWZJXwxD6qt93xAfCFfTA0NgY83+Tm3MQ9QWwKbMTGd2X+/g4XOmmbRd3cw8wbzyg3ZgRVkx/zr5IGAWqBMQWMvXnQtDI/nR40/VLIDQPrVsPstqK882VfBghxGm6+mTRyUECIe0KSUNaHvJwPz2mIsbUVzVXQgrIqes3yHKQc1Y2I6P1z6CbFujdLjXlK7eGjw6cz9xlDzgxIQ63awsPHbzF8ncWqC2BhHuFqvGSpq/Uwa3IOFN49g9mvbWL27PSzRClz48ePERSCqpTAr+M7X+vK3j0vCTqmp/c7X+pqy0zPJQ1lVPY14+CZPhY5KeiaZd3bZGalsef1T7vbPxoex9zfVtY7sjLtN20IPnrnfApyawK9HOjY/DmVVEsoKjMTh1Eug9L9GXwWrgiSspoOFrLfVWkkK8KEQYiuwCXhbSvlOG42lTbBSFV2GZgLGFo8IV8Q1y4DkBPp1j8co2yQMJZju8QxQmI25NEHhkRoyf7mawiM1uBRvKCca/Nx4QRUDY46jIRkYc5wbL6jihFm12BCGUxJROafODn/EDlRnh9pYNn725QUcT3f8dMyZMpgE4cMZyhhzEiRB+JgzxbxYbF5BKW8HMknmOAJJMsd5O5CpFHQz1393hD7gXP/dpm0EdYkDnVn++xjYuIRZ/vuMZV5lVRIBwmHUgxIOoppBtzfl8A4Yst4mDkpKWSylHBn6GialnN8W42hLmpbmmqOiir54TRF3jLkwXF4jzu3gjjEXKgVJpCR6+LS0mjvG9mHr41dzx9g+fFpaTYpCxJQQcPC4F4nRRpNsv76yEzn6cxSm/YYc/TnWV6qUabeOE0EnP4/9Jzt7PsHPY//JiaDaQkRhSAcwkVpAhtqTx80gpX7GfktZsHI3PmncFpr+ZD6psWDlblN25uZt56Xg1wmEbjEBNF4Kfp25edtN2RmQksBosZvyUD2wcrowWuxmQIqiyO/I28EZY0gUOWOiKx/f3rAr6tpYhVWq6HuP1PJmwaGICr9vFhxi7xHzM7GmUu2vbi5l5BP/5tXNpcql2n1BSY8EN5qAHglu0xVZm+MNAr1GQlwX6DUSr7owetSI0L+/ashmaNnj/KohGxBRpA6LkLag0apYWrBiF/opckS65mbBil2mbZVVeWl6lyf/YiJ0vOW8vGE/IJnjWMpO93eZ41gKyNDxljOuXzdWy0t52LGMne7v8rBjGavlpYzr182UnTB9xhilMQZMNtr2MPuxKsm+A4as2w6qjcjOSGXm5EHkLN/BoMdWkrN8h5IqusuhMT2rb0SF3+lZfZUK+vmCOvuO1kWUat93tM50qfbwk3fodU2t6k28Lqjx0P7LGbTzuzy0/3LqguofWyNHSD1X6K6v9cVYVDXGIEORd3eZ3DdqQiKZpv2bra7/YZr2b6Xl2bLqRry6g87UAJLO1ODVHcrl7IXm4CnX8+yJmc5TrucRmvngBl3CTMerRgVjzce9rpXMdLxqOpJzQ3ElD3Tfxqv6lQz3/ZVX9St5oPs2NhRXmh6T5VjhWKxcluuAIevtIePxvMUKVXS/rrNkfQnDeiWFowGXrC/Br6st8fgCQRZPuyRs694l5gu6ScAhjBBhMFqHAJVJ1MCUBGIaytlenYQEKkhieGIDjbHmhWcFOifoBAhO0ClUwsPczXde9nA+2/AvPpQXh2MALxfbmZf9DdPjaSJXn0SufjVEUfJdEDjlvQWQivtsp87iVOeHu0T/CAWIgQ7zpeOLymt5+5c/Z2buTfD5ergwC/+01/nDY2ppFBzYZBQaTB4MH/1OfRbV5FhGTjVaVYdgtZJEBwtZt2dQ5zgDkhP4ZkZqxEzsmxmpSoENAA1+nR2HqvAHjbZBUf0hKIlY4lNd4RvXrxufVseFS6Fr6HxaHae0xCPRQmKzhuisVPj45xWUUkJPcl3zQ2Xa51NCT6UggpNop7Tm0XGGFd6DCPQonj113c8s/30MCgUl6Lr5IBABvBUYTabYxSeu+8gUu3grMNq0qwvv1Q7Nhr5ZMDQ7ugrWW1+BQKMRJBFoNPoqWLXf0wGX5azEnkGd48yYmP6l+VQzJw9SsnfV4OSI0h1XDU7mP7vKlWxV1vnQpdGqEr7xC4dRuVQ4QBrHrVBwN8viNUVkOz4mJ3AyATXb8TGL1/SzpkZYFCTSQDVxJNJAFfFKNnomxlBfXQec3IMSoeOmxhLroqqhkWWh2aEDHZAkxpor3TFjYjqzl65noe95MpNOkL/neWa7uzLzG5easnMSadSUKt1stKrqHVbVg2qv4ertBNtBneNkZ6SyZf9x7v5rPr6gjtuhMXVMH6WbZc/EGLYerOLF72WGnd1DywpM35yaaNpviKJOIVUNAZyaCMktCYLSyI1pWj40gxZa1Ivsm2NveS31MounXH8KJ47O8n+fUlXxUsDTrNyGV7HcBhg6hSLUqjLnuiE8sWwtcHLP0EmAOdeZU26o8fq5s0cJ/zjaJ6wAcnuPAyyt6GfKjlGZdz459dMpqggpUnR5h+yMG03ZCdMzA4L/B8f3Q7DR6Ksig1BVarTR0MGW5azEdlDnOHkFpawpLI9wKrNf30aeQr2cOdcN4Yl/7WDWa9s4dKKBXp1jCeo6j31jWCuNvmWcqgVoVhuwCUP8R28mmWR+89+labhkkGn+R8N7UGnaEVxCbXnO3cwpeYnBjQ+fkpOSHCUJINSqqWRkZ6Sy5dUNLAtehR4K657qeI/sDHOVZ9OTE+hcXUSacFEkU0kTZXSuLSI9eYT5MfU6QXb1rNDsOQi9rjdtI0xDJfSbaORB9Bhs9FXYuhSCfqPwYW250bedjOXYe1DnOM0VKZqi+BbeNEIpDyo7I5XHvzEsIqfq8W8MU1668jg1NGG00TJpcA82PzaJSYN7RGFF0oVqRKhVWd7xBXU+01O4Smxms/P7XCU285meYjrSMWwPN5NCtiaJzfhQq14LghgaARlq1QIb8gpK+XvwSnyhZ1cfTv4evNL0Htu4ft14rmESt2jvs939PW7R3ue5hklq4eG+BqNtmqk09VWI7QbF7xtRc8XvG30Vao8aMzC/12hr24NSSsfDdlDnOFYqUgBs2X+ckop6dAklFfVs2X9cyY4mjJmOLo1WVZmmidW7jzL6l6ujlkzy4USGWlV6c5R1MoPRgT+xTmbQm+jGtFqOZnTgT6yWo6OwIgmEVDKMVm2W+cjrn9KIO7z4KdBpxM0jr39qys6G4koecL0VGR7uekstPPyztWfum6Gh0qik21httKozqIQe4IgBl8doE6J5cLI5HfYSXxtihZp5enICz/5nD6t2HgnbmTzUvPo0hAoWbthP13gXFbU6ibGOcGKl2YAEXYIQxk1SIqPahwJjPiCbtSoMdxxkR7A3ADUkMNxxkO3BPqbtHKQ73amigiQSqeUg0dUU0tDR0cKtClNZzRtcGV6+vIX3WYZ5IdQGfxAjT6yGShLpRg1HSQwdbzlF5bW8nbSamd6/h4/5Pd35Q3m26TF9YY8nmj0fbzUc+i9oLtCL4SLzhT0BGHkHbP2HsQelOY2+jeXYM6g2oknNvLkCxKJVhWpLKWuLuWV0b7Y/cQ23jO7Nc2uLlZZSlm78nE4eJ7+7/RL2zp/C726/hE4ep+mChU00rXoprn5F0CSVpCqZ1DPJwxE9MRQePp1c13yO6In0TFJT/a6gMyBCrRoCGKiV4QzNVpzoDNTKTC/OCcChwR7PdEo809jjmY5Di06n/ShJ6IjwvpZZ0pMTyA9EBkTkB/qphYc7PGfum2FPSPLT6Ynsq+BwGXtQjrYVHe7I2A6qjbBq72hDcSUPTOjHq5sPMvzxd3l180EemNBPaSkloEtuG90nIqfqttF9TAclnO7GGM0N0xiC+kxszpTB6Ggh0dEXjfweNCVBVRCkc4APtR+QzgFU35kE9unJETI++/Rk0zPEywd0J1f/Oo/67qYqGMujvrvJ1b/O5QNUZ3aCSbFFbE6ez6TYIlTe34yJ6cyumxYqWOgwChbWTTMt5RUazpn7ZvDVG63LE9k3S8k6Y4nQFWe00ejeWSV11AGxl/jaCKv2jorKa3n7R+OZec3JG60/qPOH99Uqhb60YT/dEkLltX1BXjKpnQbGjTfWpUUk+Z7abykCSImHI3VNmu2SlHjBkTpzdrIzUmFdPosPDUBIiBONPNxrO9kZU02PqQs17KMPl+v/iwj1j5No2s7AlAQajuxjfvBO5gfvBKAP5cSm9Ddl56V7xnLNnD+Sq18dUqSAQeIgL91zg+kxNfFeQz9GNzyqEIhvkJ2RCv98gxxfs4KF7jfUynY4YyHgjeyrcsEIqPocvFUn+yp4q6F4DbjiwV8HF4xUs2OVIkUHxXZQbcTJQoMnn3JVMuSt3IMCQ0liwsDuzLp2ME+9s5vcjQeU7Hj9Oo9ePzhcUfdXb5tTw25CAkfrdH7uyGVa7AZyG8bxZN00JRWIbM8nZMf82djUDjaCRy3Zsw4PDoIEcOAgSJ1iccCURA/rjkRKNh0gmfEm1ePzCkqpEF3oLY9SSndSqaBCdFFKNWgiUmtQjeyY/5ItmgU0uBVV6GO7gPd4ZF+V9Kth99uhz4BfvWBhyToj7P2Ci+FAvvoMymqpow6G7aDaiCY182gVIJr2oB6ZMijsDJ5cWci0sRcqjcvjEvw9/yC5Gw/g1AQel8DrN7+u5tRgWK8kXA6NYb2ScGqgopo0MCWBtBMbjJLftUbJ70kxOynpPM68saZ9B81pOCinmmPx4QpLL+nhqDnzfLi3wtTx07Fg5W5O6LFUhtQjDtIDh66zYOVuJQelIdGbraOd2m8xwcYz91tKU/XbphCZ+iiEYhsqYfhNkDIUjuxUj+LrdAHILUbCrwyql463K/OeEdtBtRFNN46c5TvCMx8VNfPme1ALVuwmPTmBByb0Y9XOI0rjujy9Ox/sqQQkmhBcnt6N/+wyH0bt1+H+lzZT7Q2S6HEoOScISTm9+rlR8jvmIPmNvZkdeJCZKnsZTU/eTUm1UTyJN0XbqUbdwemjEc0+DhilMDTi8VJHDPE0UofHdImMJnREqOyl0So5Jys5NQlaMSkaMBzCR7+D6oNQvhvGfl/NTtNMrLEWEOozMVvq6IzYDqoNsULN3Mo9qM6xLt7bfZQ5151cmluwYjedY83NENwOjdQusZRUGBtFNd4gF3WPp/S4+QTL7IxU+HgXOZ9Pp8gf2su4cBfZGXeZtkVCD2NZRmhG205yVyaJzSx0vMDs4L3KuVAu/Lzg+jWZjr3kBwcw3T8Lv0LSr0MIhNRDokkgETiRSBWnENcdag5F9lVISA4t8cmT/WiQMrJVoaEShn8bUobBkR3qMzGwpY7OgB3Fd45jVWVeAI9LI8bpYOHKQobOfZeFKwuJcTrwuMx9TKaO6cP+yjq6xRpLMt1iBfsr65g6xnzOEcCWYH9KZE90BCWyJ1uC5oIImphbcjEDG/5KWtUfGNjwV+aWXKxkRyAjyqsL5cwsg3HabuI0H+M0tX06AA8hxfHQTTfcN0lQSjo7G1nqms/emLtZ6ppPZ2cjQZWbuVX5S/6GM/fNULIOBnzdKFg44OvRqZAXrw0pUqy1VchbCdtBneNYVZkX4EhNI7FujZ5JHjRh5A7FujWO1JjbO7i0bxdcGlQ0GOt6FQ06Ls04bpa5edt56WAySdShIUmijpcOJpsuHT43bzu5B3sYId2ee3nYsYzcgz1M2wFjVhEMXTpBNGSUS2Dzg3cy1Pd/4Ug+Ferw8B3/IwxoXMJ3/I8oB24A3BKzkZzg9xjU+CI5we9xS8xGNUONoYjUptlXo6KgbnUoNzAmKbKvQmw32P4G7FxutKpSRx2wOGB7xF7iO8exUs3cpWk8cGV/7h1/cobywrp9PP3OHlN2FqzYhSZ1nAICUsMpdDQpWbBil+lx5W74nFgtSIzuQwIx+IjVguRu+NyUusWyTQf4hmMjr+pXssA7jXRRyjccG1m2yaVQtuPknMlwTm27R2MUg9Rw4yOAhpMgXtw4FIbVM8nDa/VZPOt4isyYYvID/XjIN0stoTmmkxGCLfWTfRViu0B9BTRWneyr0lAJ/a40Mr77XWkvzbVz7BlUWxNlkl5zNfO986fw4vcyWVNYrlRAzx/UWbJ+f8RsbMn6/fhNSkGUVTfSKDVme95k5/gNzPa8SaPUlEqQB6VEFy7K6IpEUEZXdOEyveTkC+rkayPJcS6hMGY6Oc4l5GsjlUVeTzolded0On1Cs7qFPRI9CHS8uAGBN6Sl18NkuDqEEpo1p5HQ3PBnI6FZc6olNMf3OHO/pVw47sx9M1glFmtzVrAdVFvSlKRXf8xoFZyUlWrmA1IS+GZGr1Oq8/ZiQIr5/axx/bryqnYtw9eN4VXtWsb16/rVLzoN3iDMzkpi5zWFzM5KwquwlSGAKwd2I8u1B5cDslx7uHJgtzad+zSpY0RiXi3jSJWXLlojvTmKQNKbo3TRGjmiEMWXnZHK3Ji/EycaERgJzXNj/q4WzON0G8t7SX2M1qmq1B7CEeXr4eQMKq5r9DMoWwGi1bEdVFtiQdloK9XMZ0xMJ2/roQh9wLyth5T2s9bvq+QW7xts7/tbbvG+wfp9UdwIALr0gcseMloFJLBsRz0v+K6h3tGZF3zXsGxHfRThDfKUVo0kl87SgevYO6WQpQPXkeQyP6NzOTSuGJFOnEsznIrL6Lscapd3dmAlq2JmU+y5k1Uxs8kOrFSyw6jvGMt7DSeMdtR31Ow0hJJ0NVdkX4XYboYCRPkuo1WdQVnwcGnz1dh7UG2JBUl6VilSQLPcrNc3U3QsQHpXJzMnX6z09BxDgCXcwK/2dybVcYIYAjQqJrS6HIL5b+9mfkiNwuUQ+IPmHMPAlATSqjfzdMOtzK+5w0j4jd1DSaJKWLeMyBMyRqI2FwvghIP5cKICarsTwLy6tj+os3zrIeZ8rS/TOm0ht+ZSFnx8SD2KWupn7reUlKGGLJHQjDZlqJKZvONpLG68kSKvkWYw4/g2FDTRDcoKjBQDX73RlhWo2bEVIM4KtoNqSyxI0rNKkSJM5T6oOgBcYLSVcYB5B+XHiTcoAR1vUOJX/KhpAvxBiUMTBHWj9QfN15eaMTGdRf8oMRJ+XZ+R77+I2Y33qyX8QjhyL9oIvjq/5CH/PVTWJ9KNauoUKuG6HBqpCZJfra9lPoMQ1JKWpFFaqzg2hwcC9ZF9BfL+8x6L656gSPYiXRxixn/eI/u75j7jeQWlLKqexELnonCO1+zqmaAq43R0jxHu7nRDY9Doq5A2HnJvgdLNRsLvtFfV7NicEdtBtTVRRgJZpUgBxs3gifePE+fqCrqg3tWVJ94/Dt3M3QwGpiSQ1i2O93cbD9/VWme+PjiFkkrzytExTkNkVoamA01tjMkqvdkZqfDOe+RUNUv4TXqP7IzppsdkFT2TPJyoquY4CegIjpOABz+dk8wJz/qCOp9VSaY5VjOry1qeOj6B3KpJKAdwxHSKdFAK0Xd5BaUs+uwiFjp/S2aqh/xSL7M/+7Fpx7J4TRELUz8kq3QnONxksZOFqR+Ss6a7moMKGKobhsyVFilCa5ag36gHFVTLOWsVDmwyHnjTxneIGZ29B9UByM5IZdVPJlC84HpW/WSCsjrFghW7cLhcPOV6gcIrPuYp1ws4XC4WrNhlys6MiensKqvhxXvGsXf+dbx4zzh2ldUo7WU1+HViXRpaqBCUJoSyMjqa48z9lpo5Zd/p1H5LmTNlMPGan54cQyDpyTHiNb/piDkBXBZ7gHx9EKMqniBfH8RlsQfU53ZNpSia8pdc5mdQi9cUsXDgbrJce3E1HCXLtZeFA3ebDt4pKq8l0/ux0Uk2lggzvR8rV4w2Emp1Y+8IXT3BdutS0ANGPSg9YPTbmg64L2bPoGzClFU38tI9Y8jyzIOSdWR9Zx6/8V7EXX8x90G3MjcL4OqhKewuq6GovJZ+PeIZ3LMTy7ceNmUjr6CURbWTWeh8lkxPKfneVGbXPqS0VKQjSKKOauJIpJ6qkEirWbIzUmHVOyw+PuZkCZDO68jOuNWUHQl80pCCDwc6gmJ5AQcbgurhG0mpcGL/yb2nJPN/t6LyWjIv6wtFfuMGrvvJHNiXoh3mHEt6cgL5nq+RxS6oNfQl8z1fU1brx5MI/SYaeVBSGn0Vao8a4rd+r9HWmtertJwOuC9mOyibCCQyYtlR7i03bSOvoJS3th0iOTGGQycaSE6M4a1th7i0bxclJ7V862G6J7jQJRyra2T5VvNPz4vXFJHdTyOncDpFNcYSX/YgzThuckwuIamTsUgEdcTiEhK/VJuvbNGGR8o4acNNBwBoAuqlO0JhvR636X26MI01Z+63gPTkBJ7depRV8n8pOtqZ9JgTTN4aNO1YZkxM5wd5VxPXmMEhb1d6iWPUH+rB49lqe4ekjYeP/2DcyLcug4k/V7OT0MMo2eHyGG170HXsgMro9hKfTZieSR5+9o+tEYm6P/vHVtMqAgtW7MKhaTx18wgKfzmFp24egUPTTC8VQvOkVRFashKnHG8Ze4/U8uZngpyYpRQO+AM5MUt58zPB3iPmnZ3LodFTO44AemrHlcO55+ZtJ7dyEA/H/JOdPR7j4Zh/kls5yLT8UlO03u1ddrN18Ivc3mV3xHHTnPjcaF3xkX0TjOvXjeeKu3NLYIWRahBYwXPF3RnXz3xYt9BckJBsBKQkJBt9VaySKBp5x8lyLU6P0W9rOqD8kj2DsgkzZ8pg5v1rJ7Ne20rpcS+pXTzoOjx2vbk9kfBSYSj0Pat/d35z60jTS4VgJLN28jjDgrUel0Ynj5Mab8CUHZdDY/oFB8iq2AO97yHr8F+Y3v0ATx8YYnpMDQFojOmCaJQ0urrQoFjmaNmmAzxy3WDuTZsBJeu4N208lHTj6Xf2mJJfksBVfd28un8guceH4ibAVX3dvLdfcfM+JsmoOBv0neybZENxJQ/0q+TVg9exYL8xg3qgdyWris0FXCxeU8Tv7xgVkUaxfl8FOct3qFcCsEKiqM8YuPM1Yxnt6l+0H2fQweSX7BmUTZjsjFTmfmMocW4nQkCc28ncbwxVuhHIU3ZATu2b4a5xfSPGdNe4vqZt+HWdJZWDWS8vxn/wv6yXF7OkcjB+3VywhVMTeJwQ4z8BCGL8J/A4jeNm8QV1po3ta9xQxv8M+oxh2ti+SvJLY3q52JP0I0oG/p49ST9iTK8oZhnDv220uj+yb4Ki8loeGilZJX5IcY+HWSV+yEMjpenghnAiejPVBtVEdMtp9nezaR3sGZRNBFbUqGpaKnx26qhwbpbKUiFAz8QYXt1ykGenZoRtPbSsgJ6JMabsDEhOYPLQFHK2/oyivUYS8jdHppku7BiUkkQRAHc80ivAHU9sMIBXmr+U3A6N3I37uTetMhwanFvSDbfJJcOkWBdPfVyHo/8spt15P7lL/shTH9eRFKsoDVQZirRzuI1ZVKV52az05ATy92why+GCLn2hvpL8PZ+TnnyReTub1pO1brqxb/TK7eSPX6IeJGFzTmHPoGwsZ86Uweg6zHptKwMfXcms17ai6ygJjs65bghBXWfWa9sY9NhKZr22jaCuM+c6c0tzYRmnm0ZTOP86cm4arSTjNCA5gTtGdCLOb4SGx/mPcceITgxQuGFOHdOHJ1fs5oW//on66hO88Nc/8eSK3abrZs3LHkacS7BwXx+Gzn2Hhfv6EOcSzMseZnpMAFTsNdpQWHe4b4IZE9OZvXcI64ND8EuN9cEhzN47xPT5njExndmrjrL+wvvwf/0XrL/wPmavOqqUsmBz7mHPoGy+SJTJfk0zsMVrisLLcg9fk640M2tuCyDO7eDha8wnIluV0DxjYjqLVhWy8IYhZPo2ku8ey+x1PmZONn/DnJc9HA59wtOff5P56zTcQmfahceYl329KTvhc7TqU4qOBejXNYYZihJVAHQfABWF4bBuug8wbSI7IxWKA+Tk30HR3lBidGZA7e9W2Y2c97pSVLCCdEdXZl7VLepZvs25gZDRlD0+i4wePVpu3ry5rYfR8WlK9msKw+0g0UBWkldQyuI1RWFHN2OimvMF2uf5PrAJXvqWUXep4Tjc9U+1Ma37NRzZaWjwNbXjf6Y+pg6kkHC+IYTYIqU0LXxpOyibSNb92shEv2Y+vPuoEbKqelOxko58g2qP782KMbVH52vTJqg6qDbbgxJCXCuEKBRCFAkhHmmrcdicQtp442by7qNGqyoFYyUdUMIlgvYYDWbFmDpgXo7N2aVN9qCEEA5gMXA1cBDIF0Isl1LubIvx2DTDAoV1y+mAEi7nDR0sL8fm7NJWQRJjgCIpZTGAEGIZkA3YDqo90N5uKh1QwsXGxuaraSsHlQocaNY/CIw99YeEEPcB94W6jUIIcxow5x/dgYq2HkRr0MlNfGLMgk7VjbKmZvbYuijNddjzZDH2efpq7HPUMpQK1LXrMHMp5fPA8wBCiM0qm2znE/Y5ahn2eWoZ9nn6auxz1DKEEEoRbm0VJFEKNM9G7B06ZmNjY2NjA7Sdg8oHBgghLhJCuIGpwPI2GouNjY2NTTukTZb4pJQBIcQPgHcBB/BXKeWOr3jZ860/snMe+xy1DPs8tQz7PH019jlqGUrn6ZxJ1LWxsbGxOb+wxWJtbGxsbNoltoOysbGxsWmXtDsH9VUSSEKIGCHE30P/v1EIkdYGw2xTWnCOfiqE2CmE2CaEWC2EMF/hrwPQUjktIcRNQggphDjvwoVbco6EELeGPk87hBBLz/YY2wMtuOYuFEKsEUJ8ErrurmuLcbYlQoi/CiHKT5evKgx+FzqH24QQl3ylUSllu/nCCJjYB/QD3MBWYOgpP/Mg8MfQ91OBv7f1uNvhOZoIxIW+f+B8O0ctPU+hn+sEfABsAEa39bjb2zkCBgCfAF1C/eS2Hnc7PU/PAw+Evh8KlLT1uNvgPF0BXAJsP83/XwesBAQwDtj4VTbb2wwqLIEkpfQBTRJIzckGloS+fw2YJIQwX2/73OUrz5GUco2Usj7U3YCRZ3a+0ZLPEsAvgIWA92wOrp3QknN0L7BYSnkcQEpZfpbH2B5oyXmSQGLo+yTg0FkcX7tASvkBcOwMP5IN/E0abAA6CyEuOJPN9uagvkwC6dRCO+GfkVIGgCqg21kZXfugJeeoOfdgPLWcb3zleQotMfSRUr59NgfWjmjJZ2kgMFAI8ZEQYoMQ4tqzNrr2Q0vOUw5wpxDiILAC+OHZGdo5hdl7V/uWOrKJDiHEncBoYEJbj6W9IYTQgN8Ad7fxUNo7ToxlvisxZuIfCCEullKeaMtBtUNuB16UUv5aCPE14CUhxHAppd7WAzuXaW8zqJZIIIV/RgjhxJhOV56V0bUPWiQTJYT4OvAocKOUsvEsja098VXnqRMwHHhfCFGCsSa+/DwLlGjJZ+kgsFxK6ZdSfgbswXBY5xMtOU/3AP8AkFJ+DHgwhGRtTmJa4q69OaiWSCAtB6aHvr8ZeE+GduDOE77yHAkhRgF/wnBO5+OeAXzFeZJSVkkpu0sp06SUaRh7dTdKKc+nss0tud7exJg9IYTojrHkV3wWx9geaMl5+hyYBCCEGILhoI6e1VG2f5YD3wlF840DqqSUh8/0gna1xCdPI4EkhJgHbJZSLgf+gjF9LsLYkJvadiM++7TwHD0NJACvhuJHPpdS3thmg24DWniezmtaeI7eBSYLIXYCQeBhKeX5tGLR0vP0M+AFIcRPMAIm7j7PHpwRQryC8TDTPbQX9zjgApBS/hFjb+46oAioB777lTbPs3NoY2NjY3OO0N6W+GxsbGxsbADbQdnY2NjYtFNsB2VjY2Nj0y6xHZSNjY2NTbvEdlA2NjY2Nu0S20HZ2NjY2LRLbAdlc94hhEg7XUkAGxub9oPtoGxsTCCEcPz/9u4nRKsqDuP496E0KVsYubJMKrSISpykLKaoJBduXDjECBEE/UNCCBdB4c7F0F8IoiDCoOkP06ZlTJDOOFnhmDMaYosK2gRiVBBUUE+Lc16YhteZq/japff5rM45c+85v/NuftzLnfNbqN+D9S7IP9P3eh8R5yIJKvrVxZJGJZ2Q9KGkSyXdXwvOHavF1y4BkPS9pBFJR4ChLv3hes9xSSP1niFJL9X2Lknf1va1kqZqe0DSAUnTkj7ulB6QtF/SK5IOA7u6BV/nPy5pRtJEHbtI0gt1fFbSU3W86b4ekHRI0hFJY5KW9+7nj1hcElT0q3XAa7ZvBH4Fngb2AQ/avplyDNiTc64/bXuD7ffn9inFDkeA+4D1wEZJ24BJYLBeOwiclrSqtickLQFeBbbbHgDeAvbOWW+p7dtsv3iG+PcAW2zfCnSOsXoMWAOst30LMCppWZN9AZ8AzwGba/9w/U0i/jNJUNGvfrA9VdvvUA76/M72N3XsbUqF0I4P5t3f6W8E9ts+VeuTjQJ32/4RWC7pcsoJzu/W+QYpyWsd5TT1cUlHKcnhqi7zn8kUsE/So5Tz4QA2A2/UOLD9U12nyb7uoFSCnarxPAxcs0gMET3VqsNiIy6g+YdQ/szChS9/W6TfzWeUAzFPUpLSI8AmysGiq4GvbW9quN6/2H5C0u3AVmBa0kCDeBZaR8C47eFznCfivMsTVPSr1bWwHMAOyiutNZKur2MPAQcazPMlcI+kK+uHBsNz7psEdlNeA34F3Av8YfsXStJa2YlB0hJJNzUNXtJ1tr+wvYdS1uFqYBx4vPNhhaQr6jpN9vU5cFfnOkmXSVrbNJ6IXkiCin51Etgp6QSwAniZ8rQzJukY8Dfw+mKT1Ho2zwCfAjPAtO2P6p8nKYljwvZflHLXB+t9f1LqmY1ImgGOAneeRfzPdz7MoDypzQBvUuoSzdY5d9j+vcm+bJ+iVBd+T9IscAi44SziiTjvUm4jIiJaKU9QERHRSvlIIqLFJD0LDM0bHrO9t9v1Ef8necUXERGtlFd8ERHRSklQERHRSklQERHRSklQERHRSv8A1hzOxxhAINkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "xgb_df.loc[xgb_df.prediction=='paid off'].plot(\n",
    "    x='borrower_score', y='payment_inc_ratio', style='.', \n",
    "    markerfacecolor='none', markeredgecolor='C1', ax=ax)\n",
    "xgb_df.loc[xgb_df.prediction=='default'].plot(\n",
    "    x='borrower_score', y='payment_inc_ratio', style='o', \n",
    "    markerfacecolor='none', markeredgecolor='C0', ax=ax)\n",
    "ax.legend(['paid off', 'default']);\n",
    "ax.set_xlim(0, 1)\n",
    "ax.set_ylim(0, 25)\n",
    "ax.set_xlabel('borrower_score')\n",
    "ax.set_ylabel('payment_inc_ratio')\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Regularization: Avoiding Overfitting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "XGBClassifier(base_score=0.5, booster='gbtree', colsample_bylevel=1,\n",
      "              colsample_bynode=1, colsample_bytree=1, gamma=0, gpu_id=-1,\n",
      "              importance_type='gain', interaction_constraints='',\n",
      "              learning_rate=0.1, max_delta_step=0, max_depth=6,\n",
      "              min_child_weight=1, missing=nan, monotone_constraints='()',\n",
      "              n_estimators=250, n_jobs=0, num_parallel_tree=1, random_state=0,\n",
      "              reg_alpha=0, reg_lambda=1000, scale_pos_weight=1, subsample=0.63,\n",
      "              tree_method='exact', validate_parameters=1, verbosity=None)\n"
     ]
    }
   ],
   "source": [
    "predictors = ['loan_amnt', 'term', 'annual_inc', 'dti', \n",
    "              'payment_inc_ratio', 'revol_bal', 'revol_util', \n",
    "              'purpose', 'delinq_2yrs_zero', 'pub_rec_zero', \n",
    "              'open_acc', 'grade', 'emp_length', 'purpose_', \n",
    "              'home_', 'emp_len_', 'borrower_score']\n",
    "outcome = 'outcome'\n",
    "\n",
    "X = pd.get_dummies(loan_data[predictors], drop_first=True)\n",
    "y = pd.Series([1 if o == 'default' else 0 for o in loan_data[outcome]])\n",
    "\n",
    "train_X, valid_X, train_y, valid_y = train_test_split(X, y, test_size=10000)\n",
    "\n",
    "xgb_default = XGBClassifier(objective='binary:logistic', n_estimators=250, max_depth=6,\n",
    "                            reg_lambda=0, learning_rate=0.3, subsample=1)\n",
    "xgb_default.fit(train_X, train_y)\n",
    "\n",
    "xgb_penalty = XGBClassifier(objective='binary:logistic', n_estimators=250, max_depth=6,\n",
    "                            reg_lambda=1000, learning_rate=0.1, subsample=0.63)\n",
    "print(xgb_penalty.fit(train_X, train_y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "default (train):  0.12616716654405524\n",
      "default:  0.3561\n",
      "penalty:  0.3265\n"
     ]
    }
   ],
   "source": [
    "pred_default = xgb_default.predict_proba(train_X)[:, 1]\n",
    "error_default = abs(train_y - pred_default) > 0.5\n",
    "print('default (train): ', np.mean(error_default))\n",
    "\n",
    "pred_default = xgb_default.predict_proba(valid_X)[:, 1]\n",
    "error_default = abs(valid_y - pred_default) > 0.5\n",
    "print('default: ', np.mean(error_default))\n",
    "\n",
    "pred_penalty = xgb_penalty.predict_proba(valid_X)[:, 1]\n",
    "error_penalty = abs(valid_y - pred_penalty) > 0.5\n",
    "print('penalty: ', np.mean(error_penalty))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "   iterations  default train  penalty train  default test  penalty test\n",
      "0           1       0.338492       0.334361        0.3502        0.3467\n",
      "1           2       0.329834       0.338634        0.3473        0.3430\n",
      "2           3       0.327259       0.338181        0.3445        0.3469\n",
      "3           4       0.325052       0.338096        0.3416        0.3450\n",
      "4           5       0.318516       0.336031        0.3371        0.3422\n"
     ]
    }
   ],
   "source": [
    "results = []\n",
    "for ntree_limit in range(1, 250):\n",
    "    train_default = xgb_default.predict_proba(train_X, ntree_limit=ntree_limit)[:, 1]\n",
    "    train_penalty = xgb_penalty.predict_proba(train_X, ntree_limit=ntree_limit)[:, 1]\n",
    "    pred_default = xgb_default.predict_proba(valid_X, ntree_limit=ntree_limit)[:, 1]\n",
    "    pred_penalty = xgb_penalty.predict_proba(valid_X, ntree_limit=ntree_limit)[:, 1]\n",
    "    results.append({\n",
    "        'iterations': ntree_limit,\n",
    "        'default train': np.mean(abs(train_y - train_default) > 0.5),\n",
    "        'penalty train': np.mean(abs(train_y - train_penalty) > 0.5),\n",
    "        'default test': np.mean(abs(valid_y - pred_default) > 0.5),\n",
    "        'penalty test': np.mean(abs(valid_y - pred_penalty) > 0.5),\n",
    "    })\n",
    "\n",
    "results = pd.DataFrame(results)\n",
    "print(results.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = results.plot(x='iterations', y='default test')\n",
    "results.plot(x='iterations', y='penalty test', ax=ax)\n",
    "results.plot(x='iterations', y='default train', ax=ax)\n",
    "results.plot(x='iterations', y='penalty train', ax=ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hyperparameters and Cross-Validation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.1, 'max_depth': 3, 'avg_error': 0.3274597888537188}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.1, 'max_depth': 6, 'avg_error': 0.3342308059154047}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.1, 'max_depth': 9, 'avg_error': 0.3434663207770746}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.5, 'max_depth': 3, 'avg_error': 0.3398730758473227}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.5, 'max_depth': 6, 'avg_error': 0.3673577899804886}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.5, 'max_depth': 9, 'avg_error': 0.3761803255464112}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.9, 'max_depth': 3, 'avg_error': 0.3530466593473813}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.9, 'max_depth': 6, 'avg_error': 0.3893813385997126}\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'eta': 0.9, 'max_depth': 9, 'avg_error': 0.3857472813688264}\n",
      "   eta  max_depth  avg_error\n",
      "0  0.1          3   0.327460\n",
      "1  0.1          6   0.334231\n",
      "2  0.1          9   0.343466\n",
      "3  0.5          3   0.339873\n",
      "4  0.5          6   0.367358\n",
      "5  0.5          9   0.376180\n",
      "6  0.9          3   0.353047\n",
      "7  0.9          6   0.389381\n",
      "8  0.9          9   0.385747\n"
     ]
    }
   ],
   "source": [
    "idx = np.random.choice(range(5), size=len(X), replace=True)\n",
    "error = []\n",
    "for eta, max_depth in product([0.1, 0.5, 0.9], [3, 6, 9]):\n",
    "    xgb = XGBClassifier(objective='binary:logistic', n_estimators=250, \n",
    "                        max_depth=max_depth, learning_rate=eta)\n",
    "    cv_error = []\n",
    "    for k in range(5):\n",
    "        fold_idx = idx == k\n",
    "        train_X = X.loc[~fold_idx]; train_y = y[~fold_idx]\n",
    "        valid_X = X.loc[fold_idx]; valid_y = y[fold_idx]\n",
    "\n",
    "        xgb.fit(train_X, train_y)\n",
    "        pred = xgb.predict_proba(valid_X)[:, 1]\n",
    "        cv_error.append(np.mean(abs(valid_y - pred) > 0.5))\n",
    "    error.append({\n",
    "        'eta': eta,\n",
    "        'max_depth': max_depth,\n",
    "        'avg_error': np.mean(cv_error)\n",
    "    })\n",
    "    print(error[-1])\n",
    "errors = pd.DataFrame(error)\n",
    "print(errors)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "max_depth          3          6          9\n",
      "eta                                       \n",
      "0.1        32.745979  33.423081  34.346632\n",
      "0.5        33.987308  36.735779  37.618033\n",
      "0.9        35.304666  38.938134  38.574728\n"
     ]
    }
   ],
   "source": [
    "print(errors.pivot_table(index='eta', columns='max_depth', values='avg_error') * 100)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
